Finding the Fourth Proportional to 9,758.59, 14,641.17 and 3,096.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.59 : 14,641.17 = 3,096.18 : x
2. Step 2: Convert to fraction form
   9,758.59/14,641.17 = 3,096.18/x
3. Step 3: Cross multiply
   9,758.59x = 14,641.17 × 3,096.18
4. Step 4: Simplify right side
   9,758.59x = 45,331,697.73
5. Step 5: Solve for x
   x = 45,331,697.73/9,758.59
6. Step 6: Final answer
   x = 4,645.31