Finding the Fourth Proportional to 10,500.85, 14,490.82 and 5,785.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.85 : 14,490.82 = 5,785.12 : x
2. Step 2: Convert to fraction form
   10,500.85/14,490.82 = 5,785.12/x
3. Step 3: Cross multiply
   10,500.85x = 14,490.82 × 5,785.12
4. Step 4: Simplify right side
   10,500.85x = 83,831,132.60
5. Step 5: Solve for x
   x = 83,831,132.60/10,500.85
6. Step 6: Final answer
   x = 7,983.27