Finding the Fourth Proportional to 2,978.24, 4,109.40 and 1,783.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.24 : 4,109.40 = 1,783.49 : x
2. Step 2: Convert to fraction form
   2,978.24/4,109.40 = 1,783.49/x
3. Step 3: Cross multiply
   2,978.24x = 4,109.40 × 1,783.49
4. Step 4: Simplify right side
   2,978.24x = 7,329,053.26
5. Step 5: Solve for x
   x = 7,329,053.26/2,978.24
6. Step 6: Final answer
   x = 2,460.87