Finding the Fourth Proportional to 9,116.16, 13,674.23 and 5,217.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.16 : 13,674.23 = 5,217.83 : x
2. Step 2: Convert to fraction form
   9,116.16/13,674.23 = 5,217.83/x
3. Step 3: Cross multiply
   9,116.16x = 13,674.23 × 5,217.83
4. Step 4: Simplify right side
   9,116.16x = 71,349,807.52
5. Step 5: Solve for x
   x = 71,349,807.52/9,116.16
6. Step 6: Final answer
   x = 7,826.74