Finding the Fourth Proportional to 10,357.87, 14,293.86 and 5,642.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.87 : 14,293.86 = 5,642.15 : x
2. Step 2: Convert to fraction form
   10,357.87/14,293.86 = 5,642.15/x
3. Step 3: Cross multiply
   10,357.87x = 14,293.86 × 5,642.15
4. Step 4: Simplify right side
   10,357.87x = 80,648,102.20
5. Step 5: Solve for x
   x = 80,648,102.20/10,357.87
6. Step 6: Final answer
   x = 7,786.17