Finding the Fourth Proportional to 9,116.61, 12,580.59 and 5,138.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.61 : 12,580.59 = 5,138.09 : x
2. Step 2: Convert to fraction form
   9,116.61/12,580.59 = 5,138.09/x
3. Step 3: Cross multiply
   9,116.61x = 12,580.59 × 5,138.09
4. Step 4: Simplify right side
   9,116.61x = 64,640,254.39
5. Step 5: Solve for x
   x = 64,640,254.39/9,116.61
6. Step 6: Final answer
   x = 7,090.38