Finding the Fourth Proportional to 3,892.44, 5,827.73 and 3,498.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.44 : 5,827.73 = 3,498.78 : x
2. Step 2: Convert to fraction form
   3,892.44/5,827.73 = 3,498.78/x
3. Step 3: Cross multiply
   3,892.44x = 5,827.73 × 3,498.78
4. Step 4: Simplify right side
   3,892.44x = 20,389,927.68
5. Step 5: Solve for x
   x = 20,389,927.68/3,892.44
6. Step 6: Final answer
   x = 5,238.34