Finding the Fourth Proportional to 2,561.47, 3,842.25 and 1,100.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.47 : 3,842.25 = 1,100.65 : x
2. Step 2: Convert to fraction form
   2,561.47/3,842.25 = 1,100.65/x
3. Step 3: Cross multiply
   2,561.47x = 3,842.25 × 1,100.65
4. Step 4: Simplify right side
   2,561.47x = 4,228,972.46
5. Step 5: Solve for x
   x = 4,228,972.46/2,561.47
6. Step 6: Final answer
   x = 1,650.99