Finding the Fourth Proportional to 9,117.86, 12,582.27 and 5,139.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.86 : 12,582.27 = 5,139.79 : x
2. Step 2: Convert to fraction form
   9,117.86/12,582.27 = 5,139.79/x
3. Step 3: Cross multiply
   9,117.86x = 12,582.27 × 5,139.79
4. Step 4: Simplify right side
   9,117.86x = 64,670,260.53
5. Step 5: Solve for x
   x = 64,670,260.53/9,117.86
6. Step 6: Final answer
   x = 7,092.71