Finding the Fourth Proportional to 5,256.78, 7,256.52 and 3,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256.78 : 7,256.52 = 3,160.50 : x
2. Step 2: Convert to fraction form
   5,256.78/7,256.52 = 3,160.50/x
3. Step 3: Cross multiply
   5,256.78x = 7,256.52 × 3,160.50
4. Step 4: Simplify right side
   5,256.78x = 22,934,231.46
5. Step 5: Solve for x
   x = 22,934,231.46/5,256.78
6. Step 6: Final answer
   x = 4,362.79