Finding the Fourth Proportional to 2,533.76, 3,800.78 and 802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.76 : 3,800.78 = 802.25 : x
2. Step 2: Convert to fraction form
   2,533.76/3,800.78 = 802.25/x
3. Step 3: Cross multiply
   2,533.76x = 3,800.78 × 802.25
4. Step 4: Simplify right side
   2,533.76x = 3,049,175.76
5. Step 5: Solve for x
   x = 3,049,175.76/2,533.76
6. Step 6: Final answer
   x = 1,203.42