Finding the Fourth Proportional to 1,789.80, 2,469.81 and 1,200.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,789.80 : 2,469.81 = 1,200.24 : x
2. Step 2: Convert to fraction form
   1,789.80/2,469.81 = 1,200.24/x
3. Step 3: Cross multiply
   1,789.80x = 2,469.81 × 1,200.24
4. Step 4: Simplify right side
   1,789.80x = 2,964,364.75
5. Step 5: Solve for x
   x = 2,964,364.75/1,789.80
6. Step 6: Final answer
   x = 1,656.25