Finding the Fourth Proportional to 1,209.10, 1,810.69 and 1,092.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.10 : 1,810.69 = 1,092.24 : x
2. Step 2: Convert to fraction form
   1,209.10/1,810.69 = 1,092.24/x
3. Step 3: Cross multiply
   1,209.10x = 1,810.69 × 1,092.24
4. Step 4: Simplify right side
   1,209.10x = 1,977,708.05
5. Step 5: Solve for x
   x = 1,977,708.05/1,209.10
6. Step 6: Final answer
   x = 1,635.69