Finding the Fourth Proportional to 1,856.28, 2,561.33 and 1,296.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.28 : 2,561.33 = 1,296.55 : x
2. Step 2: Convert to fraction form
   1,856.28/2,561.33 = 1,296.55/x
3. Step 3: Cross multiply
   1,856.28x = 2,561.33 × 1,296.55
4. Step 4: Simplify right side
   1,856.28x = 3,320,889.25
5. Step 5: Solve for x
   x = 3,320,889.25/1,856.28
6. Step 6: Final answer
   x = 1,789.00