Finding the Fourth Proportional to 78.58, 117.94 and 30.52

Step by Step Solution

1. Step 1: Write the proportion equation
   78.58 : 117.94 = 30.52 : x
2. Step 2: Convert to fraction form
   78.58/117.94 = 30.52/x
3. Step 3: Cross multiply
   78.58x = 117.94 × 30.52
4. Step 4: Simplify right side
   78.58x = 3,599.86
5. Step 5: Solve for x
   x = 3,599.86/78.58
6. Step 6: Final answer
   x = 45.81