Finding the Fourth Proportional to 78.06, 107.67 and 53.52

Step by Step Solution

1. Step 1: Write the proportion equation
   78.06 : 107.67 = 53.52 : x
2. Step 2: Convert to fraction form
   78.06/107.67 = 53.52/x
3. Step 3: Cross multiply
   78.06x = 107.67 × 53.52
4. Step 4: Simplify right side
   78.06x = 5,762.50
5. Step 5: Solve for x
   x = 5,762.50/78.06
6. Step 6: Final answer
   x = 73.82