Finding the Fourth Proportional to 2,507.82, 3,758.12 and 1,409.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.82 : 3,758.12 = 1,409.87 : x
2. Step 2: Convert to fraction form
   2,507.82/3,758.12 = 1,409.87/x
3. Step 3: Cross multiply
   2,507.82x = 3,758.12 × 1,409.87
4. Step 4: Simplify right side
   2,507.82x = 5,298,434.80
5. Step 5: Solve for x
   x = 5,298,434.80/2,507.82
6. Step 6: Final answer
   x = 2,112.77