Finding the Fourth Proportional to 2,755.48, 3,802.56 and 1,496.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,755.48 : 3,802.56 = 1,496.53 : x
2. Step 2: Convert to fraction form
   2,755.48/3,802.56 = 1,496.53/x
3. Step 3: Cross multiply
   2,755.48x = 3,802.56 × 1,496.53
4. Step 4: Simplify right side
   2,755.48x = 5,690,637.63
5. Step 5: Solve for x
   x = 5,690,637.63/2,755.48
6. Step 6: Final answer
   x = 2,065.21