Finding the Fourth Proportional to 10,589.96, 14,615.89 and 5,875.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.96 : 14,615.89 = 5,875.76 : x
2. Step 2: Convert to fraction form
   10,589.96/14,615.89 = 5,875.76/x
3. Step 3: Cross multiply
   10,589.96x = 14,615.89 × 5,875.76
4. Step 4: Simplify right side
   10,589.96x = 85,879,374.06
5. Step 5: Solve for x
   x = 85,879,374.06/10,589.96
6. Step 6: Final answer
   x = 8,109.51