Finding the Fourth Proportional to 78.42, 117.63 and 35.06

Step by Step Solution

1. Step 1: Write the proportion equation
   78.42 : 117.63 = 35.06 : x
2. Step 2: Convert to fraction form
   78.42/117.63 = 35.06/x
3. Step 3: Cross multiply
   78.42x = 117.63 × 35.06
4. Step 4: Simplify right side
   78.42x = 4,123.81
5. Step 5: Solve for x
   x = 4,123.81/78.42
6. Step 6: Final answer
   x = 52.59