Finding the Fourth Proportional to 3,835.02, 5,754.28 and 2,278.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,835.02 : 5,754.28 = 2,278.10 : x
2. Step 2: Convert to fraction form
   3,835.02/5,754.28 = 2,278.10/x
3. Step 3: Cross multiply
   3,835.02x = 5,754.28 × 2,278.10
4. Step 4: Simplify right side
   3,835.02x = 13,108,825.27
5. Step 5: Solve for x
   x = 13,108,825.27/3,835.02
6. Step 6: Final answer
   x = 3,418.19