Finding the Fourth Proportional to 10,501.02, 14,491.17 and 5,785.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.02 : 14,491.17 = 5,785.20 : x
2. Step 2: Convert to fraction form
   10,501.02/14,491.17 = 5,785.20/x
3. Step 3: Cross multiply
   10,501.02x = 14,491.17 × 5,785.20
4. Step 4: Simplify right side
   10,501.02x = 83,834,316.68
5. Step 5: Solve for x
   x = 83,834,316.68/10,501.02
6. Step 6: Final answer
   x = 7,983.45