Finding the Fourth Proportional to 78.53, 117.78 and 35.16

Step by Step Solution

1. Step 1: Write the proportion equation
   78.53 : 117.78 = 35.16 : x
2. Step 2: Convert to fraction form
   78.53/117.78 = 35.16/x
3. Step 3: Cross multiply
   78.53x = 117.78 × 35.16
4. Step 4: Simplify right side
   78.53x = 4,141.72
5. Step 5: Solve for x
   x = 4,141.72/78.53
6. Step 6: Final answer
   x = 52.74