Finding the Fourth Proportional to 1,605.83, 2,408.71 and 740.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.83 : 2,408.71 = 740.14 : x
2. Step 2: Convert to fraction form
   1,605.83/2,408.71 = 740.14/x
3. Step 3: Cross multiply
   1,605.83x = 2,408.71 × 740.14
4. Step 4: Simplify right side
   1,605.83x = 1,782,788.12
5. Step 5: Solve for x
   x = 1,782,788.12/1,605.83
6. Step 6: Final answer
   x = 1,110.20