Finding the Fourth Proportional to 31,105.98, 42,826.32 and 27,686.70

Step by Step Solution

1. Step 1: Write the proportion equation
   31,105.98 : 42,826.32 = 27,686.70 : x
2. Step 2: Convert to fraction form
   31,105.98/42,826.32 = 27,686.70/x
3. Step 3: Cross multiply
   31,105.98x = 42,826.32 × 27,686.70
4. Step 4: Simplify right side
   31,105.98x = 1,185,719,473.94
5. Step 5: Solve for x
   x = 1,185,719,473.94/31,105.98
6. Step 6: Final answer
   x = 38,118.70