Finding the Fourth Proportional to 1,066.72, 1,471.94 and 594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.72 : 1,471.94 = 594.50 : x
2. Step 2: Convert to fraction form
   1,066.72/1,471.94 = 594.50/x
3. Step 3: Cross multiply
   1,066.72x = 1,471.94 × 594.50
4. Step 4: Simplify right side
   1,066.72x = 875,068.33
5. Step 5: Solve for x
   x = 875,068.33/1,066.72
6. Step 6: Final answer
   x = 820.34