Finding the Fourth Proportional to 10,501.37, 14,491.88 and 5,785.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.37 : 14,491.88 = 5,785.65 : x
2. Step 2: Convert to fraction form
   10,501.37/14,491.88 = 5,785.65/x
3. Step 3: Cross multiply
   10,501.37x = 14,491.88 × 5,785.65
4. Step 4: Simplify right side
   10,501.37x = 83,844,862.25
5. Step 5: Solve for x
   x = 83,844,862.25/10,501.37
6. Step 6: Final answer
   x = 7,984.19