Finding the Fourth Proportional to 9,085.24, 12,537.81 and 5,106.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.24 : 12,537.81 = 5,106.61 : x
2. Step 2: Convert to fraction form
   9,085.24/12,537.81 = 5,106.61/x
3. Step 3: Cross multiply
   9,085.24x = 12,537.81 × 5,106.61
4. Step 4: Simplify right side
   9,085.24x = 64,025,617.70
5. Step 5: Solve for x
   x = 64,025,617.70/9,085.24
6. Step 6: Final answer
   x = 7,047.22