Finding the Fourth Proportional to 78.00, 107.63 and 46.89

Step by Step Solution

1. Step 1: Write the proportion equation
   78.00 : 107.63 = 46.89 : x
2. Step 2: Convert to fraction form
   78.00/107.63 = 46.89/x
3. Step 3: Cross multiply
   78.00x = 107.63 × 46.89
4. Step 4: Simplify right side
   78.00x = 5,047.04
5. Step 5: Solve for x
   x = 5,047.04/78.00
6. Step 6: Final answer
   x = 64.71