Finding the Fourth Proportional to 9,096.71, 12,549.40 and 5,557.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.71 : 12,549.40 = 5,557.82 : x
2. Step 2: Convert to fraction form
   9,096.71/12,549.40 = 5,557.82/x
3. Step 3: Cross multiply
   9,096.71x = 12,549.40 × 5,557.82
4. Step 4: Simplify right side
   9,096.71x = 69,747,229.67
5. Step 5: Solve for x
   x = 69,747,229.67/9,096.71
6. Step 6: Final answer
   x = 7,667.31