Finding the Fourth Proportional to 9,118.56, 12,583.10 and 5,139.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,118.56 : 12,583.10 = 5,139.74 : x
2. Step 2: Convert to fraction form
   9,118.56/12,583.10 = 5,139.74/x
3. Step 3: Cross multiply
   9,118.56x = 12,583.10 × 5,139.74
4. Step 4: Simplify right side
   9,118.56x = 64,673,773.78
5. Step 5: Solve for x
   x = 64,673,773.78/9,118.56
6. Step 6: Final answer
   x = 7,092.54