Finding the Fourth Proportional to 78.29, 117.35 and 32.00

Step by Step Solution

1. Step 1: Write the proportion equation
   78.29 : 117.35 = 32.00 : x
2. Step 2: Convert to fraction form
   78.29/117.35 = 32.00/x
3. Step 3: Cross multiply
   78.29x = 117.35 × 32.00
4. Step 4: Simplify right side
   78.29x = 3,754.57
5. Step 5: Solve for x
   x = 3,754.57/78.29
6. Step 6: Final answer
   x = 47.96