Finding the Fourth Proportional to 1,066.33, 1,600.49 and 546.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.33 : 1,600.49 = 546.71 : x
2. Step 2: Convert to fraction form
   1,066.33/1,600.49 = 546.71/x
3. Step 3: Cross multiply
   1,066.33x = 1,600.49 × 546.71
4. Step 4: Simplify right side
   1,066.33x = 875,003.89
5. Step 5: Solve for x
   x = 875,003.89/1,066.33
6. Step 6: Final answer
   x = 820.58