Finding the Fourth Proportional to 9,116.27, 12,580.27 and 5,137.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.27 : 12,580.27 = 5,137.30 : x
2. Step 2: Convert to fraction form
   9,116.27/12,580.27 = 5,137.30/x
3. Step 3: Cross multiply
   9,116.27x = 12,580.27 × 5,137.30
4. Step 4: Simplify right side
   9,116.27x = 64,628,621.07
5. Step 5: Solve for x
   x = 64,628,621.07/9,116.27
6. Step 6: Final answer
   x = 7,089.37