Finding the Fourth Proportional to 2,514.95, 3,769.34 and 1,896.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.95 : 3,769.34 = 1,896.69 : x
2. Step 2: Convert to fraction form
   2,514.95/3,769.34 = 1,896.69/x
3. Step 3: Cross multiply
   2,514.95x = 3,769.34 × 1,896.69
4. Step 4: Simplify right side
   2,514.95x = 7,149,260.00
5. Step 5: Solve for x
   x = 7,149,260.00/2,514.95
6. Step 6: Final answer
   x = 2,842.71