Finding the Fourth Proportional to 78.51, 117.69 and 32.83

Step by Step Solution

1. Step 1: Write the proportion equation
   78.51 : 117.69 = 32.83 : x
2. Step 2: Convert to fraction form
   78.51/117.69 = 32.83/x
3. Step 3: Cross multiply
   78.51x = 117.69 × 32.83
4. Step 4: Simplify right side
   78.51x = 3,863.35
5. Step 5: Solve for x
   x = 3,863.35/78.51
6. Step 6: Final answer
   x = 49.21