Finding the Fourth Proportional to 97.50, 134.55 and 75.78

Step by Step Solution

1. Step 1: Write the proportion equation
   97.50 : 134.55 = 75.78 : x
2. Step 2: Convert to fraction form
   97.50/134.55 = 75.78/x
3. Step 3: Cross multiply
   97.50x = 134.55 × 75.78
4. Step 4: Simplify right side
   97.50x = 10,196.20
5. Step 5: Solve for x
   x = 10,196.20/97.50
6. Step 6: Final answer
   x = 104.58