Finding the Fourth Proportional to 772.56, 1,066.52 and 477.99

Step by Step Solution

1. Step 1: Write the proportion equation
   772.56 : 1,066.52 = 477.99 : x
2. Step 2: Convert to fraction form
   772.56/1,066.52 = 477.99/x
3. Step 3: Cross multiply
   772.56x = 1,066.52 × 477.99
4. Step 4: Simplify right side
   772.56x = 509,785.89
5. Step 5: Solve for x
   x = 509,785.89/772.56
6. Step 6: Final answer
   x = 659.87