Finding the Fourth Proportional to 76.71, 105.98 and 53.49

Step by Step Solution

1. Step 1: Write the proportion equation
   76.71 : 105.98 = 53.49 : x
2. Step 2: Convert to fraction form
   76.71/105.98 = 53.49/x
3. Step 3: Cross multiply
   76.71x = 105.98 × 53.49
4. Step 4: Simplify right side
   76.71x = 5,669.00
5. Step 5: Solve for x
   x = 5,669.00/76.71
6. Step 6: Final answer
   x = 73.90