Finding the Fourth Proportional to 1,066.23, 1,471.40 and 594.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.23 : 1,471.40 = 594.14 : x
2. Step 2: Convert to fraction form
   1,066.23/1,471.40 = 594.14/x
3. Step 3: Cross multiply
   1,066.23x = 1,471.40 × 594.14
4. Step 4: Simplify right side
   1,066.23x = 874,218.30
5. Step 5: Solve for x
   x = 874,218.30/1,066.23
6. Step 6: Final answer
   x = 819.92