Finding the Fourth Proportional to 78.85, 118.25 and 24.00

Step by Step Solution

1. Step 1: Write the proportion equation
   78.85 : 118.25 = 24.00 : x
2. Step 2: Convert to fraction form
   78.85/118.25 = 24.00/x
3. Step 3: Cross multiply
   78.85x = 118.25 × 24.00
4. Step 4: Simplify right side
   78.85x = 2,837.59
5. Step 5: Solve for x
   x = 2,837.59/78.85
6. Step 6: Final answer
   x = 35.99