Finding the Fourth Proportional to 1,066.24, 1,596.94 and 571.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.24 : 1,596.94 = 571.78 : x
2. Step 2: Convert to fraction form
   1,066.24/1,596.94 = 571.78/x
3. Step 3: Cross multiply
   1,066.24x = 1,596.94 × 571.78
4. Step 4: Simplify right side
   1,066.24x = 913,105.02
5. Step 5: Solve for x
   x = 913,105.02/1,066.24
6. Step 6: Final answer
   x = 856.38