Finding the Fourth Proportional to 2,259.48, 3,409.56 and 2,178.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.48 : 3,409.56 = 2,178.12 : x
2. Step 2: Convert to fraction form
   2,259.48/3,409.56 = 2,178.12/x
3. Step 3: Cross multiply
   2,259.48x = 3,409.56 × 2,178.12
4. Step 4: Simplify right side
   2,259.48x = 7,426,430.83
5. Step 5: Solve for x
   x = 7,426,430.83/2,259.48
6. Step 6: Final answer
   x = 3,286.79