Finding the Fourth Proportional to 77.83, 116.71 and 43.61

Step by Step Solution

1. Step 1: Write the proportion equation
   77.83 : 116.71 = 43.61 : x
2. Step 2: Convert to fraction form
   77.83/116.71 = 43.61/x
3. Step 3: Cross multiply
   77.83x = 116.71 × 43.61
4. Step 4: Simplify right side
   77.83x = 5,089.03
5. Step 5: Solve for x
   x = 5,089.03/77.83
6. Step 6: Final answer
   x = 65.39