Finding the Fourth Proportional to 1,559.48, 2,152.24 and 1,165.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.48 : 2,152.24 = 1,165.82 : x
2. Step 2: Convert to fraction form
   1,559.48/2,152.24 = 1,165.82/x
3. Step 3: Cross multiply
   1,559.48x = 2,152.24 × 1,165.82
4. Step 4: Simplify right side
   1,559.48x = 2,509,126.90
5. Step 5: Solve for x
   x = 2,509,126.90/1,559.48
6. Step 6: Final answer
   x = 1,608.95