Finding the Fourth Proportional to 78.42, 117.56 and 37.82

Step by Step Solution

1. Step 1: Write the proportion equation
   78.42 : 117.56 = 37.82 : x
2. Step 2: Convert to fraction form
   78.42/117.56 = 37.82/x
3. Step 3: Cross multiply
   78.42x = 117.56 × 37.82
4. Step 4: Simplify right side
   78.42x = 4,446.12
5. Step 5: Solve for x
   x = 4,446.12/78.42
6. Step 6: Final answer
   x = 56.70