Finding the Fourth Proportional to 127.64, 191.34 and 72.83

Step by Step Solution

1. Step 1: Write the proportion equation
   127.64 : 191.34 = 72.83 : x
2. Step 2: Convert to fraction form
   127.64/191.34 = 72.83/x
3. Step 3: Cross multiply
   127.64x = 191.34 × 72.83
4. Step 4: Simplify right side
   127.64x = 13,934.34
5. Step 5: Solve for x
   x = 13,934.34/127.64
6. Step 6: Final answer
   x = 109.17