Finding the Fourth Proportional to 116.30, 174.42 and 78.05

Step by Step Solution

1. Step 1: Write the proportion equation
   116.30 : 174.42 = 78.05 : x
2. Step 2: Convert to fraction form
   116.30/174.42 = 78.05/x
3. Step 3: Cross multiply
   116.30x = 174.42 × 78.05
4. Step 4: Simplify right side
   116.30x = 13,613.48
5. Step 5: Solve for x
   x = 13,613.48/116.30
6. Step 6: Final answer
   x = 117.05