Finding the Fourth Proportional to 1,605.90, 2,404.56 and 1,513.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.90 : 2,404.56 = 1,513.80 : x
2. Step 2: Convert to fraction form
   1,605.90/2,404.56 = 1,513.80/x
3. Step 3: Cross multiply
   1,605.90x = 2,404.56 × 1,513.80
4. Step 4: Simplify right side
   1,605.90x = 3,640,022.93
5. Step 5: Solve for x
   x = 3,640,022.93/1,605.90
6. Step 6: Final answer
   x = 2,266.66