Finding the Fourth Proportional to 77.89, 116.69 and 32.12

Step by Step Solution

1. Step 1: Write the proportion equation
   77.89 : 116.69 = 32.12 : x
2. Step 2: Convert to fraction form
   77.89/116.69 = 32.12/x
3. Step 3: Cross multiply
   77.89x = 116.69 × 32.12
4. Step 4: Simplify right side
   77.89x = 3,748.29
5. Step 5: Solve for x
   x = 3,748.29/77.89
6. Step 6: Final answer
   x = 48.12