Finding the Fourth Proportional to 9,593.78, 14,359.88 and 5,140.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,593.78 : 14,359.88 = 5,140.33 : x
2. Step 2: Convert to fraction form
   9,593.78/14,359.88 = 5,140.33/x
3. Step 3: Cross multiply
   9,593.78x = 14,359.88 × 5,140.33
4. Step 4: Simplify right side
   9,593.78x = 73,814,498.91
5. Step 5: Solve for x
   x = 73,814,498.91/9,593.78
6. Step 6: Final answer
   x = 7,694.00