Finding the Fourth Proportional to 1,066.71, 1,471.92 and 594.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.71 : 1,471.92 = 594.55 : x
2. Step 2: Convert to fraction form
   1,066.71/1,471.92 = 594.55/x
3. Step 3: Cross multiply
   1,066.71x = 1,471.92 × 594.55
4. Step 4: Simplify right side
   1,066.71x = 875,133.18
5. Step 5: Solve for x
   x = 875,133.18/1,066.71
6. Step 6: Final answer
   x = 820.40