Finding the Fourth Proportional to 1,533.50, 2,300.59 and 559.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.50 : 2,300.59 = 559.58 : x
2. Step 2: Convert to fraction form
   1,533.50/2,300.59 = 559.58/x
3. Step 3: Cross multiply
   1,533.50x = 2,300.59 × 559.58
4. Step 4: Simplify right side
   1,533.50x = 1,287,350.20
5. Step 5: Solve for x
   x = 1,287,350.20/1,533.50
6. Step 6: Final answer
   x = 839.49