Finding the Fourth Proportional to 78.34, 108.16 and 53.82

Step by Step Solution

1. Step 1: Write the proportion equation
   78.34 : 108.16 = 53.82 : x
2. Step 2: Convert to fraction form
   78.34/108.16 = 53.82/x
3. Step 3: Cross multiply
   78.34x = 108.16 × 53.82
4. Step 4: Simplify right side
   78.34x = 5,821.17
5. Step 5: Solve for x
   x = 5,821.17/78.34
6. Step 6: Final answer
   x = 74.31