Finding the Fourth Proportional to 1,066.50, 1,471.74 and 594.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.50 : 1,471.74 = 594.38 : x
2. Step 2: Convert to fraction form
   1,066.50/1,471.74 = 594.38/x
3. Step 3: Cross multiply
   1,066.50x = 1,471.74 × 594.38
4. Step 4: Simplify right side
   1,066.50x = 874,765.46
5. Step 5: Solve for x
   x = 874,765.46/1,066.50
6. Step 6: Final answer
   x = 820.22