Finding the Fourth Proportional to 78.62, 117.83 and 46.14

Step by Step Solution

1. Step 1: Write the proportion equation
   78.62 : 117.83 = 46.14 : x
2. Step 2: Convert to fraction form
   78.62/117.83 = 46.14/x
3. Step 3: Cross multiply
   78.62x = 117.83 × 46.14
4. Step 4: Simplify right side
   78.62x = 5,436.45
5. Step 5: Solve for x
   x = 5,436.45/78.62
6. Step 6: Final answer
   x = 69.15