Finding the Fourth Proportional to 2,509, 3,462.42 and 1,405

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509 : 3,462.42 = 1,405 : x
2. Step 2: Convert to fraction form
   2,509/3,462.42 = 1,405/x
3. Step 3: Cross multiply
   2,509x = 3,462.42 × 1,405
4. Step 4: Simplify right side
   2,509x = 4,864,700.10
5. Step 5: Solve for x
   x = 4,864,700.10/2,509
6. Step 6: Final answer
   x = 1,938.90