Finding the Fourth Proportional to 78.42, 117.50 and 37.74

Step by Step Solution

1. Step 1: Write the proportion equation
   78.42 : 117.50 = 37.74 : x
2. Step 2: Convert to fraction form
   78.42/117.50 = 37.74/x
3. Step 3: Cross multiply
   78.42x = 117.50 × 37.74
4. Step 4: Simplify right side
   78.42x = 4,434.26
5. Step 5: Solve for x
   x = 4,434.26/78.42
6. Step 6: Final answer
   x = 56.55