Finding the Fourth Proportional to 78.50, 117.76 and 37.96

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 117.76 = 37.96 : x
2. Step 2: Convert to fraction form
   78.50/117.76 = 37.96/x
3. Step 3: Cross multiply
   78.50x = 117.76 × 37.96
4. Step 4: Simplify right side
   78.50x = 4,469.78
5. Step 5: Solve for x
   x = 4,469.78/78.50
6. Step 6: Final answer
   x = 56.94