Finding the Fourth Proportional to 1,189.05, 1,782.81 and 571.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.05 : 1,782.81 = 571.52 : x
2. Step 2: Convert to fraction form
   1,189.05/1,782.81 = 571.52/x
3. Step 3: Cross multiply
   1,189.05x = 1,782.81 × 571.52
4. Step 4: Simplify right side
   1,189.05x = 1,018,916.03
5. Step 5: Solve for x
   x = 1,018,916.03/1,189.05
6. Step 6: Final answer
   x = 856.92