Finding the Fourth Proportional to 78.58, 108.42 and 47.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.58 : 108.42 = 47.50 : x
2. Step 2: Convert to fraction form
   78.58/108.42 = 47.50/x
3. Step 3: Cross multiply
   78.58x = 108.42 × 47.50
4. Step 4: Simplify right side
   78.58x = 5,149.41
5. Step 5: Solve for x
   x = 5,149.41/78.58
6. Step 6: Final answer
   x = 65.53