Finding the Fourth Proportional to 9,117.82, 12,582.71 and 5,138.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.82 : 12,582.71 = 5,138.83 : x
2. Step 2: Convert to fraction form
   9,117.82/12,582.71 = 5,138.83/x
3. Step 3: Cross multiply
   9,117.82x = 12,582.71 × 5,138.83
4. Step 4: Simplify right side
   9,117.82x = 64,660,381.94
5. Step 5: Solve for x
   x = 64,660,381.94/9,117.82
6. Step 6: Final answer
   x = 7,091.65