Finding the Fourth Proportional to 2,564.16, 3,849.60 and 1,834.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.16 : 3,849.60 = 1,834.24 : x
2. Step 2: Convert to fraction form
   2,564.16/3,849.60 = 1,834.24/x
3. Step 3: Cross multiply
   2,564.16x = 3,849.60 × 1,834.24
4. Step 4: Simplify right side
   2,564.16x = 7,061,090.30
5. Step 5: Solve for x
   x = 7,061,090.30/2,564.16
6. Step 6: Final answer
   x = 2,753.76