Finding the Fourth Proportional to 78.58, 117.94 and 38.06

Step by Step Solution

1. Step 1: Write the proportion equation
   78.58 : 117.94 = 38.06 : x
2. Step 2: Convert to fraction form
   78.58/117.94 = 38.06/x
3. Step 3: Cross multiply
   78.58x = 117.94 × 38.06
4. Step 4: Simplify right side
   78.58x = 4,488.80
5. Step 5: Solve for x
   x = 4,488.80/78.58
6. Step 6: Final answer
   x = 57.12