Finding the Fourth Proportional to 10,500.81, 14,490.94 and 5,785.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.81 : 14,490.94 = 5,785.53 : x
2. Step 2: Convert to fraction form
   10,500.81/14,490.94 = 5,785.53/x
3. Step 3: Cross multiply
   10,500.81x = 14,490.94 × 5,785.53
4. Step 4: Simplify right side
   10,500.81x = 83,837,768.10
5. Step 5: Solve for x
   x = 83,837,768.10/10,500.81
6. Step 6: Final answer
   x = 7,983.93