Finding the Fourth Proportional to 78.32, 117.47 and 32.69

Step by Step Solution

1. Step 1: Write the proportion equation
   78.32 : 117.47 = 32.69 : x
2. Step 2: Convert to fraction form
   78.32/117.47 = 32.69/x
3. Step 3: Cross multiply
   78.32x = 117.47 × 32.69
4. Step 4: Simplify right side
   78.32x = 3,839.34
5. Step 5: Solve for x
   x = 3,839.34/78.32
6. Step 6: Final answer
   x = 49.02