Finding the Fourth Proportional to 1,859.84, 2,566.56 and 1,020.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.84 : 2,566.56 = 1,020.56 : x
2. Step 2: Convert to fraction form
   1,859.84/2,566.56 = 1,020.56/x
3. Step 3: Cross multiply
   1,859.84x = 2,566.56 × 1,020.56
4. Step 4: Simplify right side
   1,859.84x = 2,619,328.47
5. Step 5: Solve for x
   x = 2,619,328.47/1,859.84
6. Step 6: Final answer
   x = 1,408.36