Finding the Fourth Proportional to 9,117.01, 12,581.31 and 5,138.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.01 : 12,581.31 = 5,138.05 : x
2. Step 2: Convert to fraction form
   9,117.01/12,581.31 = 5,138.05/x
3. Step 3: Cross multiply
   9,117.01x = 12,581.31 × 5,138.05
4. Step 4: Simplify right side
   9,117.01x = 64,643,399.85
5. Step 5: Solve for x
   x = 64,643,399.85/9,117.01
6. Step 6: Final answer
   x = 7,090.42