Finding the Fourth Proportional to 9,117.94, 12,583 and 5,139.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.94 : 12,583 = 5,139.42 : x
2. Step 2: Convert to fraction form
   9,117.94/12,583 = 5,139.42/x
3. Step 3: Cross multiply
   9,117.94x = 12,583 × 5,139.42
4. Step 4: Simplify right side
   9,117.94x = 64,669,321.86
5. Step 5: Solve for x
   x = 64,669,321.86/9,117.94
6. Step 6: Final answer
   x = 7,092.54