Finding the Fourth Proportional to 2,378.94, 3,567.51 and 1,646.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378.94 : 3,567.51 = 1,646.31 : x
2. Step 2: Convert to fraction form
   2,378.94/3,567.51 = 1,646.31/x
3. Step 3: Cross multiply
   2,378.94x = 3,567.51 × 1,646.31
4. Step 4: Simplify right side
   2,378.94x = 5,873,227.39
5. Step 5: Solve for x
   x = 5,873,227.39/2,378.94
6. Step 6: Final answer
   x = 2,468.84