Finding the Fourth Proportional to 17,856.48, 24,641.52 and 10,404

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856.48 : 24,641.52 = 10,404 : x
2. Step 2: Convert to fraction form
   17,856.48/24,641.52 = 10,404/x
3. Step 3: Cross multiply
   17,856.48x = 24,641.52 × 10,404
4. Step 4: Simplify right side
   17,856.48x = 256,370,374.08
5. Step 5: Solve for x
   x = 256,370,374.08/17,856.48
6. Step 6: Final answer
   x = 14,357.27