Finding the Fourth Proportional to 2,561.30, 3,838.91 and 1,097.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.30 : 3,838.91 = 1,097.36 : x
2. Step 2: Convert to fraction form
   2,561.30/3,838.91 = 1,097.36/x
3. Step 3: Cross multiply
   2,561.30x = 3,838.91 × 1,097.36
4. Step 4: Simplify right side
   2,561.30x = 4,212,641.60
5. Step 5: Solve for x
   x = 4,212,641.60/2,561.30
6. Step 6: Final answer
   x = 1,644.73