Finding the Fourth Proportional to 1,820.52, 2,509.67 and 1,447.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.52 : 2,509.67 = 1,447.65 : x
2. Step 2: Convert to fraction form
   1,820.52/2,509.67 = 1,447.65/x
3. Step 3: Cross multiply
   1,820.52x = 2,509.67 × 1,447.65
4. Step 4: Simplify right side
   1,820.52x = 3,633,123.78
5. Step 5: Solve for x
   x = 3,633,123.78/1,820.52
6. Step 6: Final answer
   x = 1,995.65