Finding the Fourth Proportional to 2,561.77, 3,839.95 and 1,100.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.77 : 3,839.95 = 1,100.53 : x
2. Step 2: Convert to fraction form
   2,561.77/3,839.95 = 1,100.53/x
3. Step 3: Cross multiply
   2,561.77x = 3,839.95 × 1,100.53
4. Step 4: Simplify right side
   2,561.77x = 4,225,980.17
5. Step 5: Solve for x
   x = 4,225,980.17/2,561.77
6. Step 6: Final answer
   x = 1,649.63