Finding the Fourth Proportional to 2,002.64, 3,004.50 and 1,809.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.64 : 3,004.50 = 1,809.86 : x
2. Step 2: Convert to fraction form
   2,002.64/3,004.50 = 1,809.86/x
3. Step 3: Cross multiply
   2,002.64x = 3,004.50 × 1,809.86
4. Step 4: Simplify right side
   2,002.64x = 5,437,700.30
5. Step 5: Solve for x
   x = 5,437,700.30/2,002.64
6. Step 6: Final answer
   x = 2,715.27