Finding the Fourth Proportional to 2,978.48, 4,109.82 and 1,859.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.48 : 4,109.82 = 1,859.24 : x
2. Step 2: Convert to fraction form
   2,978.48/4,109.82 = 1,859.24/x
3. Step 3: Cross multiply
   2,978.48x = 4,109.82 × 1,859.24
4. Step 4: Simplify right side
   2,978.48x = 7,641,141.74
5. Step 5: Solve for x
   x = 7,641,141.74/2,978.48
6. Step 6: Final answer
   x = 2,565.45