Finding the Fourth Proportional to 2,505.37, 3,754.46 and 1,407.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.37 : 3,754.46 = 1,407.43 : x
2. Step 2: Convert to fraction form
   2,505.37/3,754.46 = 1,407.43/x
3. Step 3: Cross multiply
   2,505.37x = 3,754.46 × 1,407.43
4. Step 4: Simplify right side
   2,505.37x = 5,284,126.73
5. Step 5: Solve for x
   x = 5,284,126.73/2,505.37
6. Step 6: Final answer
   x = 2,109.12