Finding the Fourth Proportional to 10,501.27, 14,491.75 and 5,785.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.27 : 14,491.75 = 5,785.55 : x
2. Step 2: Convert to fraction form
   10,501.27/14,491.75 = 5,785.55/x
3. Step 3: Cross multiply
   10,501.27x = 14,491.75 × 5,785.55
4. Step 4: Simplify right side
   10,501.27x = 83,842,758.75
5. Step 5: Solve for x
   x = 83,842,758.75/10,501.27
6. Step 6: Final answer
   x = 7,984.06