Finding the Fourth Proportional to 2,533.92, 3,802.20 and 1,147

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.92 : 3,802.20 = 1,147 : x
2. Step 2: Convert to fraction form
   2,533.92/3,802.20 = 1,147/x
3. Step 3: Cross multiply
   2,533.92x = 3,802.20 × 1,147
4. Step 4: Simplify right side
   2,533.92x = 4,361,123.40
5. Step 5: Solve for x
   x = 4,361,123.40/2,533.92
6. Step 6: Final answer
   x = 1,721.10