Finding the Fourth Proportional to 2,149.30, 3,219.81 and 1,823.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.30 : 3,219.81 = 1,823.86 : x
2. Step 2: Convert to fraction form
   2,149.30/3,219.81 = 1,823.86/x
3. Step 3: Cross multiply
   2,149.30x = 3,219.81 × 1,823.86
4. Step 4: Simplify right side
   2,149.30x = 5,872,482.67
5. Step 5: Solve for x
   x = 5,872,482.67/2,149.30
6. Step 6: Final answer
   x = 2,732.28