Finding the Fourth Proportional to 1,066.61, 1,471.93 and 594.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.61 : 1,471.93 = 594.49 : x
2. Step 2: Convert to fraction form
   1,066.61/1,471.93 = 594.49/x
3. Step 3: Cross multiply
   1,066.61x = 1,471.93 × 594.49
4. Step 4: Simplify right side
   1,066.61x = 875,047.67
5. Step 5: Solve for x
   x = 875,047.67/1,066.61
6. Step 6: Final answer
   x = 820.40