Finding the Fourth Proportional to 10,077.72, 13,910.22 and 5,886.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.72 : 13,910.22 = 5,886.96 : x
2. Step 2: Convert to fraction form
   10,077.72/13,910.22 = 5,886.96/x
3. Step 3: Cross multiply
   10,077.72x = 13,910.22 × 5,886.96
4. Step 4: Simplify right side
   10,077.72x = 81,888,908.73
5. Step 5: Solve for x
   x = 81,888,908.73/10,077.72
6. Step 6: Final answer
   x = 8,125.74