Finding the Fourth Proportional to 2,755.16, 3,802.16 and 1,496.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,755.16 : 3,802.16 = 1,496.24 : x
2. Step 2: Convert to fraction form
   2,755.16/3,802.16 = 1,496.24/x
3. Step 3: Cross multiply
   2,755.16x = 3,802.16 × 1,496.24
4. Step 4: Simplify right side
   2,755.16x = 5,688,943.88
5. Step 5: Solve for x
   x = 5,688,943.88/2,755.16
6. Step 6: Final answer
   x = 2,064.83