Finding the Fourth Proportional to 1,820.98, 2,509.51 and 1,461.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.98 : 2,509.51 = 1,461.65 : x
2. Step 2: Convert to fraction form
   1,820.98/2,509.51 = 1,461.65/x
3. Step 3: Cross multiply
   1,820.98x = 2,509.51 × 1,461.65
4. Step 4: Simplify right side
   1,820.98x = 3,668,007.72
5. Step 5: Solve for x
   x = 3,668,007.72/1,820.98
6. Step 6: Final answer
   x = 2,014.30