Finding the Fourth Proportional to 10,589.56, 14,614.62 and 5,875

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.56 : 14,614.62 = 5,875 : x
2. Step 2: Convert to fraction form
   10,589.56/14,614.62 = 5,875/x
3. Step 3: Cross multiply
   10,589.56x = 14,614.62 × 5,875
4. Step 4: Simplify right side
   10,589.56x = 85,860,892.50
5. Step 5: Solve for x
   x = 85,860,892.50/10,589.56
6. Step 6: Final answer
   x = 8,108.07