Finding the Fourth Proportional to 9,160.80, 12,641.91 and 5,181.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,160.80 : 12,641.91 = 5,181.83 : x
2. Step 2: Convert to fraction form
   9,160.80/12,641.91 = 5,181.83/x
3. Step 3: Cross multiply
   9,160.80x = 12,641.91 × 5,181.83
4. Step 4: Simplify right side
   9,160.80x = 65,508,272.54
5. Step 5: Solve for x
   x = 65,508,272.54/9,160.80
6. Step 6: Final answer
   x = 7,150.93