Finding the Fourth Proportional to 2,097.84, 3,159.24 and 1,827.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.84 : 3,159.24 = 1,827.20 : x
2. Step 2: Convert to fraction form
   2,097.84/3,159.24 = 1,827.20/x
3. Step 3: Cross multiply
   2,097.84x = 3,159.24 × 1,827.20
4. Step 4: Simplify right side
   2,097.84x = 5,772,560.31
5. Step 5: Solve for x
   x = 5,772,560.31/2,097.84
6. Step 6: Final answer
   x = 2,751.67