Finding the Fourth Proportional to 2,052, 3,078.72 and 1,892.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052 : 3,078.72 = 1,892.16 : x
2. Step 2: Convert to fraction form
   2,052/3,078.72 = 1,892.16/x
3. Step 3: Cross multiply
   2,052x = 3,078.72 × 1,892.16
4. Step 4: Simplify right side
   2,052x = 5,825,430.84
5. Step 5: Solve for x
   x = 5,825,430.84/2,052
6. Step 6: Final answer
   x = 2,838.90