Finding the Fourth Proportional to 31,145.91, 42,982.74 and 17,538.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,145.91 : 42,982.74 = 17,538.63 : x
2. Step 2: Convert to fraction form
   31,145.91/42,982.74 = 17,538.63/x
3. Step 3: Cross multiply
   31,145.91x = 42,982.74 × 17,538.63
4. Step 4: Simplify right side
   31,145.91x = 753,858,373.25
5. Step 5: Solve for x
   x = 753,858,373.25/31,145.91
6. Step 6: Final answer
   x = 24,204.09