Finding the Fourth Proportional to 10,382.10, 15,574.86 and 4,142.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.10 : 15,574.86 = 4,142.31 : x
2. Step 2: Convert to fraction form
   10,382.10/15,574.86 = 4,142.31/x
3. Step 3: Cross multiply
   10,382.10x = 15,574.86 × 4,142.31
4. Step 4: Simplify right side
   10,382.10x = 64,515,959.68
5. Step 5: Solve for x
   x = 64,515,959.68/10,382.10
6. Step 6: Final answer
   x = 6,214.15