Finding the Fourth Proportional to 10,500.99, 14,491.37 and 5,785.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.99 : 14,491.37 = 5,785.27 : x
2. Step 2: Convert to fraction form
   10,500.99/14,491.37 = 5,785.27/x
3. Step 3: Cross multiply
   10,500.99x = 14,491.37 × 5,785.27
4. Step 4: Simplify right side
   10,500.99x = 83,836,547.87
5. Step 5: Solve for x
   x = 83,836,547.87/10,500.99
6. Step 6: Final answer
   x = 7,983.68