Finding the Fourth Proportional to 78.69, 117.94 and 32.98

Step by Step Solution

1. Step 1: Write the proportion equation
   78.69 : 117.94 = 32.98 : x
2. Step 2: Convert to fraction form
   78.69/117.94 = 32.98/x
3. Step 3: Cross multiply
   78.69x = 117.94 × 32.98
4. Step 4: Simplify right side
   78.69x = 3,889.66
5. Step 5: Solve for x
   x = 3,889.66/78.69
6. Step 6: Final answer
   x = 49.43