Finding the Fourth Proportional to 10,590.20, 14,614.77 and 5,874.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.20 : 14,614.77 = 5,874.78 : x
2. Step 2: Convert to fraction form
   10,590.20/14,614.77 = 5,874.78/x
3. Step 3: Cross multiply
   10,590.20x = 14,614.77 × 5,874.78
4. Step 4: Simplify right side
   10,590.20x = 85,858,558.50
5. Step 5: Solve for x
   x = 85,858,558.50/10,590.20
6. Step 6: Final answer
   x = 8,107.36