Finding the Fourth Proportional to 78.54, 117.76 and 42.46

Step by Step Solution

1. Step 1: Write the proportion equation
   78.54 : 117.76 = 42.46 : x
2. Step 2: Convert to fraction form
   78.54/117.76 = 42.46/x
3. Step 3: Cross multiply
   78.54x = 117.76 × 42.46
4. Step 4: Simplify right side
   78.54x = 5,000.09
5. Step 5: Solve for x
   x = 5,000.09/78.54
6. Step 6: Final answer
   x = 63.66