Finding the Fourth Proportional to 76.61, 105.61 and 53.29

Step by Step Solution

1. Step 1: Write the proportion equation
   76.61 : 105.61 = 53.29 : x
2. Step 2: Convert to fraction form
   76.61/105.61 = 53.29/x
3. Step 3: Cross multiply
   76.61x = 105.61 × 53.29
4. Step 4: Simplify right side
   76.61x = 5,627.16
5. Step 5: Solve for x
   x = 5,627.16/76.61
6. Step 6: Final answer
   x = 73.46