Finding the Fourth Proportional to 10,137.84, 13,987.72 and 6,158.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137.84 : 13,987.72 = 6,158.71 : x
2. Step 2: Convert to fraction form
   10,137.84/13,987.72 = 6,158.71/x
3. Step 3: Cross multiply
   10,137.84x = 13,987.72 × 6,158.71
4. Step 4: Simplify right side
   10,137.84x = 86,146,311.04
5. Step 5: Solve for x
   x = 86,146,311.04/10,137.84
6. Step 6: Final answer
   x = 8,497.50