Finding the Fourth Proportional to 10,358.27, 14,294.34 and 5,642.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.27 : 14,294.34 = 5,642.55 : x
2. Step 2: Convert to fraction form
   10,358.27/14,294.34 = 5,642.55/x
3. Step 3: Cross multiply
   10,358.27x = 14,294.34 × 5,642.55
4. Step 4: Simplify right side
   10,358.27x = 80,656,528.17
5. Step 5: Solve for x
   x = 80,656,528.17/10,358.27
6. Step 6: Final answer
   x = 7,786.68