Finding the Fourth Proportional to 76.89, 106.10 and 53.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76.89 : 106.10 = 53.50 : x
2. Step 2: Convert to fraction form
   76.89/106.10 = 53.50/x
3. Step 3: Cross multiply
   76.89x = 106.10 × 53.50
4. Step 4: Simplify right side
   76.89x = 5,676.58
5. Step 5: Solve for x
   x = 5,676.58/76.89
6. Step 6: Final answer
   x = 73.83