Finding the Fourth Proportional to 1,865.81, 2,574.88 and 1,026.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,865.81 : 2,574.88 = 1,026.56 : x
2. Step 2: Convert to fraction form
   1,865.81/2,574.88 = 1,026.56/x
3. Step 3: Cross multiply
   1,865.81x = 2,574.88 × 1,026.56
4. Step 4: Simplify right side
   1,865.81x = 2,643,255.94
5. Step 5: Solve for x
   x = 2,643,255.94/1,865.81
6. Step 6: Final answer
   x = 1,416.68