Finding the Fourth Proportional to 9,596.34, 14,382.38 and 5,142.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596.34 : 14,382.38 = 5,142.94 : x
2. Step 2: Convert to fraction form
   9,596.34/14,382.38 = 5,142.94/x
3. Step 3: Cross multiply
   9,596.34x = 14,382.38 × 5,142.94
4. Step 4: Simplify right side
   9,596.34x = 73,967,694.30
5. Step 5: Solve for x
   x = 73,967,694.30/9,596.34
6. Step 6: Final answer
   x = 7,707.91