Finding the Fourth Proportional to 78.31, 117.47 and 32.69

Step by Step Solution

1. Step 1: Write the proportion equation
   78.31 : 117.47 = 32.69 : x
2. Step 2: Convert to fraction form
   78.31/117.47 = 32.69/x
3. Step 3: Cross multiply
   78.31x = 117.47 × 32.69
4. Step 4: Simplify right side
   78.31x = 3,840.22
5. Step 5: Solve for x
   x = 3,840.22/78.31
6. Step 6: Final answer
   x = 49.04