Finding the Fourth Proportional to 10,358.50, 14,294.76 and 5,642.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.50 : 14,294.76 = 5,642.79 : x
2. Step 2: Convert to fraction form
   10,358.50/14,294.76 = 5,642.79/x
3. Step 3: Cross multiply
   10,358.50x = 14,294.76 × 5,642.79
4. Step 4: Simplify right side
   10,358.50x = 80,662,328.78
5. Step 5: Solve for x
   x = 80,662,328.78/10,358.50
6. Step 6: Final answer
   x = 7,787.07