Finding the Fourth Proportional to 9,116.75, 12,580.92 and 5,137.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.75 : 12,580.92 = 5,137.83 : x
2. Step 2: Convert to fraction form
   9,116.75/12,580.92 = 5,137.83/x
3. Step 3: Cross multiply
   9,116.75x = 12,580.92 × 5,137.83
4. Step 4: Simplify right side
   9,116.75x = 64,638,628.20
5. Step 5: Solve for x
   x = 64,638,628.20/9,116.75
6. Step 6: Final answer
   x = 7,090.09