Finding the Fourth Proportional to 2,605.84, 3,596.18 and 1,427

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.84 : 3,596.18 = 1,427 : x
2. Step 2: Convert to fraction form
   2,605.84/3,596.18 = 1,427/x
3. Step 3: Cross multiply
   2,605.84x = 3,596.18 × 1,427
4. Step 4: Simplify right side
   2,605.84x = 5,131,748.86
5. Step 5: Solve for x
   x = 5,131,748.86/2,605.84
6. Step 6: Final answer
   x = 1,969.33