Finding the Fourth Proportional to 9,077.24, 13,641.52 and 5,380.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,077.24 : 13,641.52 = 5,380.14 : x
2. Step 2: Convert to fraction form
   9,077.24/13,641.52 = 5,380.14/x
3. Step 3: Cross multiply
   9,077.24x = 13,641.52 × 5,380.14
4. Step 4: Simplify right side
   9,077.24x = 73,393,287.41
5. Step 5: Solve for x
   x = 73,393,287.41/9,077.24
6. Step 6: Final answer
   x = 8,085.42