Finding the Fourth Proportional to 1,066.38, 1,471.67 and 594.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.38 : 1,471.67 = 594.30 : x
2. Step 2: Convert to fraction form
   1,066.38/1,471.67 = 594.30/x
3. Step 3: Cross multiply
   1,066.38x = 1,471.67 × 594.30
4. Step 4: Simplify right side
   1,066.38x = 874,613.48
5. Step 5: Solve for x
   x = 874,613.48/1,066.38
6. Step 6: Final answer
   x = 820.17