Finding the Fourth Proportional to 2,022.61, 2,784.18 and 1,743.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.61 : 2,784.18 = 1,743.77 : x
2. Step 2: Convert to fraction form
   2,022.61/2,784.18 = 1,743.77/x
3. Step 3: Cross multiply
   2,022.61x = 2,784.18 × 1,743.77
4. Step 4: Simplify right side
   2,022.61x = 4,854,955.64
5. Step 5: Solve for x
   x = 4,854,955.64/2,022.61
6. Step 6: Final answer
   x = 2,400.34