Finding the Fourth Proportional to 10,517.02, 14,513 and 5,736.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.02 : 14,513 = 5,736.85 : x
2. Step 2: Convert to fraction form
   10,517.02/14,513 = 5,736.85/x
3. Step 3: Cross multiply
   10,517.02x = 14,513 × 5,736.85
4. Step 4: Simplify right side
   10,517.02x = 83,258,831.49
5. Step 5: Solve for x
   x = 83,258,831.49/10,517.02
6. Step 6: Final answer
   x = 7,916.58