Finding the Fourth Proportional to 31,106.56, 42,922.24 and 17,856

Step by Step Solution

1. Step 1: Write the proportion equation
   31,106.56 : 42,922.24 = 17,856 : x
2. Step 2: Convert to fraction form
   31,106.56/42,922.24 = 17,856/x
3. Step 3: Cross multiply
   31,106.56x = 42,922.24 × 17,856
4. Step 4: Simplify right side
   31,106.56x = 766,419,517.44
5. Step 5: Solve for x
   x = 766,419,517.44/31,106.56
6. Step 6: Final answer
   x = 24,638.52