Finding the Fourth Proportional to 10,589.32, 14,613.78 and 5,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.32 : 14,613.78 = 5,873.50 : x
2. Step 2: Convert to fraction form
   10,589.32/14,613.78 = 5,873.50/x
3. Step 3: Cross multiply
   10,589.32x = 14,613.78 × 5,873.50
4. Step 4: Simplify right side
   10,589.32x = 85,834,036.83
5. Step 5: Solve for x
   x = 85,834,036.83/10,589.32
6. Step 6: Final answer
   x = 8,105.72