Finding the Fourth Proportional to 77.82, 116.72 and 29.69

Step by Step Solution

1. Step 1: Write the proportion equation
   77.82 : 116.72 = 29.69 : x
2. Step 2: Convert to fraction form
   77.82/116.72 = 29.69/x
3. Step 3: Cross multiply
   77.82x = 116.72 × 29.69
4. Step 4: Simplify right side
   77.82x = 3,465.42
5. Step 5: Solve for x
   x = 3,465.42/77.82
6. Step 6: Final answer
   x = 44.53