Finding the Fourth Proportional to 2,535.10, 3,802.63 and 892.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.10 : 3,802.63 = 892.12 : x
2. Step 2: Convert to fraction form
   2,535.10/3,802.63 = 892.12/x
3. Step 3: Cross multiply
   2,535.10x = 3,802.63 × 892.12
4. Step 4: Simplify right side
   2,535.10x = 3,392,402.28
5. Step 5: Solve for x
   x = 3,392,402.28/2,535.10
6. Step 6: Final answer
   x = 1,338.17