Finding the Fourth Proportional to 127.50, 191.52 and 78.18

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 191.52 = 78.18 : x
2. Step 2: Convert to fraction form
   127.50/191.52 = 78.18/x
3. Step 3: Cross multiply
   127.50x = 191.52 × 78.18
4. Step 4: Simplify right side
   127.50x = 14,973.03
5. Step 5: Solve for x
   x = 14,973.03/127.50
6. Step 6: Final answer
   x = 117.44