Finding the Fourth Proportional to 10,590.27, 14,614.56 and 5,874.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.27 : 14,614.56 = 5,874.57 : x
2. Step 2: Convert to fraction form
   10,590.27/14,614.56 = 5,874.57/x
3. Step 3: Cross multiply
   10,590.27x = 14,614.56 × 5,874.57
4. Step 4: Simplify right side
   10,590.27x = 85,854,255.74
5. Step 5: Solve for x
   x = 85,854,255.74/10,590.27
6. Step 6: Final answer
   x = 8,106.90