Finding the Fourth Proportional to 2,505.06, 3,754.89 and 1,409.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.06 : 3,754.89 = 1,409.13 : x
2. Step 2: Convert to fraction form
   2,505.06/3,754.89 = 1,409.13/x
3. Step 3: Cross multiply
   2,505.06x = 3,754.89 × 1,409.13
4. Step 4: Simplify right side
   2,505.06x = 5,291,128.15
5. Step 5: Solve for x
   x = 5,291,128.15/2,505.06
6. Step 6: Final answer
   x = 2,112.18