Finding the Fourth Proportional to 2,533.92, 3,801.42 and 802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.92 : 3,801.42 = 802.56 : x
2. Step 2: Convert to fraction form
   2,533.92/3,801.42 = 802.56/x
3. Step 3: Cross multiply
   2,533.92x = 3,801.42 × 802.56
4. Step 4: Simplify right side
   2,533.92x = 3,050,867.64
5. Step 5: Solve for x
   x = 3,050,867.64/2,533.92
6. Step 6: Final answer
   x = 1,204.01