Finding the Fourth Proportional to 78.43, 117.61 and 24.31

Step by Step Solution

1. Step 1: Write the proportion equation
   78.43 : 117.61 = 24.31 : x
2. Step 2: Convert to fraction form
   78.43/117.61 = 24.31/x
3. Step 3: Cross multiply
   78.43x = 117.61 × 24.31
4. Step 4: Simplify right side
   78.43x = 2,859.10
5. Step 5: Solve for x
   x = 2,859.10/78.43
6. Step 6: Final answer
   x = 36.45