Finding the Fourth Proportional to 1,784.80, 2,462.69 and 1,155.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.80 : 2,462.69 = 1,155.24 : x
2. Step 2: Convert to fraction form
   1,784.80/2,462.69 = 1,155.24/x
3. Step 3: Cross multiply
   1,784.80x = 2,462.69 × 1,155.24
4. Step 4: Simplify right side
   1,784.80x = 2,845,004.32
5. Step 5: Solve for x
   x = 2,845,004.32/1,784.80
6. Step 6: Final answer
   x = 1,594.02