Finding the Fourth Proportional to 1,066.82, 1,472.16 and 594.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.82 : 1,472.16 = 594.77 : x
2. Step 2: Convert to fraction form
   1,066.82/1,472.16 = 594.77/x
3. Step 3: Cross multiply
   1,066.82x = 1,472.16 × 594.77
4. Step 4: Simplify right side
   1,066.82x = 875,599.75
5. Step 5: Solve for x
   x = 875,599.75/1,066.82
6. Step 6: Final answer
   x = 820.75