Finding the Fourth Proportional to 2,410.50, 3,614.69 and 1,023.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.50 : 3,614.69 = 1,023.14 : x
2. Step 2: Convert to fraction form
   2,410.50/3,614.69 = 1,023.14/x
3. Step 3: Cross multiply
   2,410.50x = 3,614.69 × 1,023.14
4. Step 4: Simplify right side
   2,410.50x = 3,698,333.93
5. Step 5: Solve for x
   x = 3,698,333.93/2,410.50
6. Step 6: Final answer
   x = 1,534.26