Finding the Fourth Proportional to 31,097.98, 42,815.28 and 27,678.70

Step by Step Solution

1. Step 1: Write the proportion equation
   31,097.98 : 42,815.28 = 27,678.70 : x
2. Step 2: Convert to fraction form
   31,097.98/42,815.28 = 27,678.70/x
3. Step 3: Cross multiply
   31,097.98x = 42,815.28 × 27,678.70
4. Step 4: Simplify right side
   31,097.98x = 1,185,071,290.54
5. Step 5: Solve for x
   x = 1,185,071,290.54/31,097.98
6. Step 6: Final answer
   x = 38,107.66