Finding the Fourth Proportional to 9,117.90, 12,581.82 and 5,138.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.90 : 12,581.82 = 5,138.64 : x
2. Step 2: Convert to fraction form
   9,117.90/12,581.82 = 5,138.64/x
3. Step 3: Cross multiply
   9,117.90x = 12,581.82 × 5,138.64
4. Step 4: Simplify right side
   9,117.90x = 64,653,443.52
5. Step 5: Solve for x
   x = 64,653,443.52/9,117.90
6. Step 6: Final answer
   x = 7,090.83