Finding the Fourth Proportional to 2,405.78, 3,607.90 and 1,019.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.78 : 3,607.90 = 1,019.06 : x
2. Step 2: Convert to fraction form
   2,405.78/3,607.90 = 1,019.06/x
3. Step 3: Cross multiply
   2,405.78x = 3,607.90 × 1,019.06
4. Step 4: Simplify right side
   2,405.78x = 3,676,666.57
5. Step 5: Solve for x
   x = 3,676,666.57/2,405.78
6. Step 6: Final answer
   x = 1,528.26