Finding the Fourth Proportional to 31,096.97, 42,914.96 and 17,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,096.97 : 42,914.96 = 17,670.50 : x
2. Step 2: Convert to fraction form
   31,096.97/42,914.96 = 17,670.50/x
3. Step 3: Cross multiply
   31,096.97x = 42,914.96 × 17,670.50
4. Step 4: Simplify right side
   31,096.97x = 758,328,952.14
5. Step 5: Solve for x
   x = 758,328,952.14/31,096.97
6. Step 6: Final answer
   x = 24,385.95