Finding the Fourth Proportional to 2,536.17, 3,802.53 and 892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.17 : 3,802.53 = 892.50 : x
2. Step 2: Convert to fraction form
   2,536.17/3,802.53 = 892.50/x
3. Step 3: Cross multiply
   2,536.17x = 3,802.53 × 892.50
4. Step 4: Simplify right side
   2,536.17x = 3,393,761.37
5. Step 5: Solve for x
   x = 3,393,761.37/2,536.17
6. Step 6: Final answer
   x = 1,338.14