Finding the Fourth Proportional to 10,426.24, 14,387.65 and 5,949.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.24 : 14,387.65 = 5,949.82 : x
2. Step 2: Convert to fraction form
   10,426.24/14,387.65 = 5,949.82/x
3. Step 3: Cross multiply
   10,426.24x = 14,387.65 × 5,949.82
4. Step 4: Simplify right side
   10,426.24x = 85,603,927.72
5. Step 5: Solve for x
   x = 85,603,927.72/10,426.24
6. Step 6: Final answer
   x = 8,210.43