Finding the Fourth Proportional to 76.89, 106.14 and 53.61

Step by Step Solution

1. Step 1: Write the proportion equation
   76.89 : 106.14 = 53.61 : x
2. Step 2: Convert to fraction form
   76.89/106.14 = 53.61/x
3. Step 3: Cross multiply
   76.89x = 106.14 × 53.61
4. Step 4: Simplify right side
   76.89x = 5,689.37
5. Step 5: Solve for x
   x = 5,689.37/76.89
6. Step 6: Final answer
   x = 74.00