Finding the Fourth Proportional to 31,096.22, 42,913.94 and 17,669.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,096.22 : 42,913.94 = 17,669.75 : x
2. Step 2: Convert to fraction form
   31,096.22/42,913.94 = 17,669.75/x
3. Step 3: Cross multiply
   31,096.22x = 42,913.94 × 17,669.75
4. Step 4: Simplify right side
   31,096.22x = 758,278,591.32
5. Step 5: Solve for x
   x = 758,278,591.32/31,096.22
6. Step 6: Final answer
   x = 24,384.91