Finding the Fourth Proportional to 9,116.40, 12,581.82 and 5,138.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.40 : 12,581.82 = 5,138.28 : x
2. Step 2: Convert to fraction form
   9,116.40/12,581.82 = 5,138.28/x
3. Step 3: Cross multiply
   9,116.40x = 12,581.82 × 5,138.28
4. Step 4: Simplify right side
   9,116.40x = 64,648,914.07
5. Step 5: Solve for x
   x = 64,648,914.07/9,116.40
6. Step 6: Final answer
   x = 7,091.50