Finding the Fourth Proportional to 10,358.52, 14,294.73 and 5,642.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.52 : 14,294.73 = 5,642.80 : x
2. Step 2: Convert to fraction form
   10,358.52/14,294.73 = 5,642.80/x
3. Step 3: Cross multiply
   10,358.52x = 14,294.73 × 5,642.80
4. Step 4: Simplify right side
   10,358.52x = 80,662,287.87
5. Step 5: Solve for x
   x = 80,662,287.87/10,358.52
6. Step 6: Final answer
   x = 7,787.05