Finding the Fourth Proportional to 78.50, 117.73 and 46.00

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 117.73 = 46.00 : x
2. Step 2: Convert to fraction form
   78.50/117.73 = 46.00/x
3. Step 3: Cross multiply
   78.50x = 117.73 × 46.00
4. Step 4: Simplify right side
   78.50x = 5,415.78
5. Step 5: Solve for x
   x = 5,415.78/78.50
6. Step 6: Final answer
   x = 68.99