Finding the Fourth Proportional to 10,358.32, 14,294.46 and 5,642.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.32 : 14,294.46 = 5,642.59 : x
2. Step 2: Convert to fraction form
   10,358.32/14,294.46 = 5,642.59/x
3. Step 3: Cross multiply
   10,358.32x = 14,294.46 × 5,642.59
4. Step 4: Simplify right side
   10,358.32x = 80,657,777.05
5. Step 5: Solve for x
   x = 80,657,777.05/10,358.32
6. Step 6: Final answer
   x = 7,786.76