Finding the Fourth Proportional to 78.60, 117.82 and 46.10

Step by Step Solution

1. Step 1: Write the proportion equation
   78.60 : 117.82 = 46.10 : x
2. Step 2: Convert to fraction form
   78.60/117.82 = 46.10/x
3. Step 3: Cross multiply
   78.60x = 117.82 × 46.10
4. Step 4: Simplify right side
   78.60x = 5,431.85
5. Step 5: Solve for x
   x = 5,431.85/78.60
6. Step 6: Final answer
   x = 69.10