Finding the Fourth Proportional to 10,178.91, 14,049.32 and 5,989.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.91 : 14,049.32 = 5,989.59 : x
2. Step 2: Convert to fraction form
   10,178.91/14,049.32 = 5,989.59/x
3. Step 3: Cross multiply
   10,178.91x = 14,049.32 × 5,989.59
4. Step 4: Simplify right side
   10,178.91x = 84,149,681.55
5. Step 5: Solve for x
   x = 84,149,681.55/10,178.91
6. Step 6: Final answer
   x = 8,267.06