Finding the Fourth Proportional to 2,535.80, 3,802.74 and 892.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.80 : 3,802.74 = 892.04 : x
2. Step 2: Convert to fraction form
   2,535.80/3,802.74 = 892.04/x
3. Step 3: Cross multiply
   2,535.80x = 3,802.74 × 892.04
4. Step 4: Simplify right side
   2,535.80x = 3,392,196.19
5. Step 5: Solve for x
   x = 3,392,196.19/2,535.80
6. Step 6: Final answer
   x = 1,337.72