Finding the Fourth Proportional to 1,066.65, 1,471.94 and 594.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.65 : 1,471.94 = 594.52 : x
2. Step 2: Convert to fraction form
   1,066.65/1,471.94 = 594.52/x
3. Step 3: Cross multiply
   1,066.65x = 1,471.94 × 594.52
4. Step 4: Simplify right side
   1,066.65x = 875,094.80
5. Step 5: Solve for x
   x = 875,094.80/1,066.65
6. Step 6: Final answer
   x = 820.42