Finding the Fourth Proportional to 10,284.90, 14,192.42 and 5,807.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,284.90 : 14,192.42 = 5,807.77 : x
2. Step 2: Convert to fraction form
   10,284.90/14,192.42 = 5,807.77/x
3. Step 3: Cross multiply
   10,284.90x = 14,192.42 × 5,807.77
4. Step 4: Simplify right side
   10,284.90x = 82,426,311.10
5. Step 5: Solve for x
   x = 82,426,311.10/10,284.90
6. Step 6: Final answer
   x = 8,014.30