Finding the Fourth Proportional to 9,159.76, 12,641.72 and 5,182.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,159.76 : 12,641.72 = 5,182.48 : x
2. Step 2: Convert to fraction form
   9,159.76/12,641.72 = 5,182.48/x
3. Step 3: Cross multiply
   9,159.76x = 12,641.72 × 5,182.48
4. Step 4: Simplify right side
   9,159.76x = 65,515,461.07
5. Step 5: Solve for x
   x = 65,515,461.07/9,159.76
6. Step 6: Final answer
   x = 7,152.53