Finding the Fourth Proportional to 3,746.78, 5,622.98 and 1,409.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.78 : 5,622.98 = 1,409.09 : x
2. Step 2: Convert to fraction form
   3,746.78/5,622.98 = 1,409.09/x
3. Step 3: Cross multiply
   3,746.78x = 5,622.98 × 1,409.09
4. Step 4: Simplify right side
   3,746.78x = 7,923,284.89
5. Step 5: Solve for x
   x = 7,923,284.89/3,746.78
6. Step 6: Final answer
   x = 2,114.69