Finding the Fourth Proportional to 1,066.65, 1,472.00 and 594.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.65 : 1,472.00 = 594.59 : x
2. Step 2: Convert to fraction form
   1,066.65/1,472.00 = 594.59/x
3. Step 3: Cross multiply
   1,066.65x = 1,472.00 × 594.59
4. Step 4: Simplify right side
   1,066.65x = 875,226.15
5. Step 5: Solve for x
   x = 875,226.15/1,066.65
6. Step 6: Final answer
   x = 820.54