Finding the Fourth Proportional to 10,357.72, 14,293.65 and 5,642.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.72 : 14,293.65 = 5,642.00 : x
2. Step 2: Convert to fraction form
   10,357.72/14,293.65 = 5,642.00/x
3. Step 3: Cross multiply
   10,357.72x = 14,293.65 × 5,642.00
4. Step 4: Simplify right side
   10,357.72x = 80,644,758.61
5. Step 5: Solve for x
   x = 80,644,758.61/10,357.72
6. Step 6: Final answer
   x = 7,785.96