Finding the Fourth Proportional to 2,038.14, 2,805.30 and 1,447.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.14 : 2,805.30 = 1,447.65 : x
2. Step 2: Convert to fraction form
   2,038.14/2,805.30 = 1,447.65/x
3. Step 3: Cross multiply
   2,038.14x = 2,805.30 × 1,447.65
4. Step 4: Simplify right side
   2,038.14x = 4,061,092.55
5. Step 5: Solve for x
   x = 4,061,092.55/2,038.14
6. Step 6: Final answer
   x = 1,992.55