Finding the Fourth Proportional to 1,426.20, 2,138.42 and 559.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.20 : 2,138.42 = 559.52 : x
2. Step 2: Convert to fraction form
   1,426.20/2,138.42 = 559.52/x
3. Step 3: Cross multiply
   1,426.20x = 2,138.42 × 559.52
4. Step 4: Simplify right side
   1,426.20x = 1,196,488.76
5. Step 5: Solve for x
   x = 1,196,488.76/1,426.20
6. Step 6: Final answer
   x = 838.93