Finding the Fourth Proportional to 78.33, 117.50 and 32.69

Step by Step Solution

1. Step 1: Write the proportion equation
   78.33 : 117.50 = 32.69 : x
2. Step 2: Convert to fraction form
   78.33/117.50 = 32.69/x
3. Step 3: Cross multiply
   78.33x = 117.50 × 32.69
4. Step 4: Simplify right side
   78.33x = 3,840.32
5. Step 5: Solve for x
   x = 3,840.32/78.33
6. Step 6: Final answer
   x = 49.03