Finding the Fourth Proportional to 846.50, 1,167.72 and 566.73

Step by Step Solution

1. Step 1: Write the proportion equation
   846.50 : 1,167.72 = 566.73 : x
2. Step 2: Convert to fraction form
   846.50/1,167.72 = 566.73/x
3. Step 3: Cross multiply
   846.50x = 1,167.72 × 566.73
4. Step 4: Simplify right side
   846.50x = 661,781.96
5. Step 5: Solve for x
   x = 661,781.96/846.50
6. Step 6: Final answer
   x = 781.79