Finding the Fourth Proportional to 78.05, 107.73 and 53.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 107.73 = 53.50 : x
2. Step 2: Convert to fraction form
   78.05/107.73 = 53.50/x
3. Step 3: Cross multiply
   78.05x = 107.73 × 53.50
4. Step 4: Simplify right side
   78.05x = 5,763.56
5. Step 5: Solve for x
   x = 5,763.56/78.05
6. Step 6: Final answer
   x = 73.84