Finding the Fourth Proportional to 10,077.98, 13,908.63 and 5,886.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.98 : 13,908.63 = 5,886.62 : x
2. Step 2: Convert to fraction form
   10,077.98/13,908.63 = 5,886.62/x
3. Step 3: Cross multiply
   10,077.98x = 13,908.63 × 5,886.62
4. Step 4: Simplify right side
   10,077.98x = 81,874,819.53
5. Step 5: Solve for x
   x = 81,874,819.53/10,077.98
6. Step 6: Final answer
   x = 8,124.13