Finding the Fourth Proportional to 257,648.69, 385,862.16 and 204,168.71

Step by Step Solution

1. Step 1: Write the proportion equation
   257,648.69 : 385,862.16 = 204,168.71 : x
2. Step 2: Convert to fraction form
   257,648.69/385,862.16 = 204,168.71/x
3. Step 3: Cross multiply
   257,648.69x = 385,862.16 × 204,168.71
4. Step 4: Simplify right side
   257,648.69x = 78,780,979,445.01
5. Step 5: Solve for x
   x = 78,780,979,445.01/257,648.69
6. Step 6: Final answer
   x = 305,768.99