Finding the Fourth Proportional to 2,048.78, 2,827.68 and 1,209.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.78 : 2,827.68 = 1,209.98 : x
2. Step 2: Convert to fraction form
   2,048.78/2,827.68 = 1,209.98/x
3. Step 3: Cross multiply
   2,048.78x = 2,827.68 × 1,209.98
4. Step 4: Simplify right side
   2,048.78x = 3,421,436.25
5. Step 5: Solve for x
   x = 3,421,436.25/2,048.78
6. Step 6: Final answer
   x = 1,669.99