Finding the Fourth Proportional to 78.57, 117.74 and 40.00

Step by Step Solution

1. Step 1: Write the proportion equation
   78.57 : 117.74 = 40.00 : x
2. Step 2: Convert to fraction form
   78.57/117.74 = 40.00/x
3. Step 3: Cross multiply
   78.57x = 117.74 × 40.00
4. Step 4: Simplify right side
   78.57x = 4,708.91
5. Step 5: Solve for x
   x = 4,708.91/78.57
6. Step 6: Final answer
   x = 59.93