Finding the Fourth Proportional to 1,559.23, 2,151.89 and 1,165.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.23 : 2,151.89 = 1,165.57 : x
2. Step 2: Convert to fraction form
   1,559.23/2,151.89 = 1,165.57/x
3. Step 3: Cross multiply
   1,559.23x = 2,151.89 × 1,165.57
4. Step 4: Simplify right side
   1,559.23x = 2,508,178.43
5. Step 5: Solve for x
   x = 2,508,178.43/1,559.23
6. Step 6: Final answer
   x = 1,608.60