Finding the Fourth Proportional to 78.37, 108.20 and 52.14

Step by Step Solution

1. Step 1: Write the proportion equation
   78.37 : 108.20 = 52.14 : x
2. Step 2: Convert to fraction form
   78.37/108.20 = 52.14/x
3. Step 3: Cross multiply
   78.37x = 108.20 × 52.14
4. Step 4: Simplify right side
   78.37x = 5,641.55
5. Step 5: Solve for x
   x = 5,641.55/78.37
6. Step 6: Final answer
   x = 71.99