Finding the Fourth Proportional to 3,874.98, 5,810.52 and 1,409.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.98 : 5,810.52 = 1,409.42 : x
2. Step 2: Convert to fraction form
   3,874.98/5,810.52 = 1,409.42/x
3. Step 3: Cross multiply
   3,874.98x = 5,810.52 × 1,409.42
4. Step 4: Simplify right side
   3,874.98x = 8,189,463.10
5. Step 5: Solve for x
   x = 8,189,463.10/3,874.98
6. Step 6: Final answer
   x = 2,113.42