Finding the Fourth Proportional to 10,501.12, 14,491.42 and 5,785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.12 : 14,491.42 = 5,785.30 : x
2. Step 2: Convert to fraction form
   10,501.12/14,491.42 = 5,785.30/x
3. Step 3: Cross multiply
   10,501.12x = 14,491.42 × 5,785.30
4. Step 4: Simplify right side
   10,501.12x = 83,837,212.13
5. Step 5: Solve for x
   x = 83,837,212.13/10,501.12
6. Step 6: Final answer
   x = 7,983.64