Finding the Fourth Proportional to 10,358.64, 14,294.52 and 5,642.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.64 : 14,294.52 = 5,642.88 : x
2. Step 2: Convert to fraction form
   10,358.64/14,294.52 = 5,642.88/x
3. Step 3: Cross multiply
   10,358.64x = 14,294.52 × 5,642.88
4. Step 4: Simplify right side
   10,358.64x = 80,662,261.02
5. Step 5: Solve for x
   x = 80,662,261.02/10,358.64
6. Step 6: Final answer
   x = 7,786.95