Finding the Fourth Proportional to 1,533.50, 2,298.20 and 839.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.50 : 2,298.20 = 839.12 : x
2. Step 2: Convert to fraction form
   1,533.50/2,298.20 = 839.12/x
3. Step 3: Cross multiply
   1,533.50x = 2,298.20 × 839.12
4. Step 4: Simplify right side
   1,533.50x = 1,928,456.19
5. Step 5: Solve for x
   x = 1,928,456.19/1,533.50
6. Step 6: Final answer
   x = 1,257.56