Finding the Fourth Proportional to 2,574.95, 3,869.31 and 1,405.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.95 : 3,869.31 = 1,405.76 : x
2. Step 2: Convert to fraction form
   2,574.95/3,869.31 = 1,405.76/x
3. Step 3: Cross multiply
   2,574.95x = 3,869.31 × 1,405.76
4. Step 4: Simplify right side
   2,574.95x = 5,439,321.23
5. Step 5: Solve for x
   x = 5,439,321.23/2,574.95
6. Step 6: Final answer
   x = 2,112.40