Finding the Fourth Proportional to 11,856.96, 17,759.52 and 5,688

Step by Step Solution

1. Step 1: Write the proportion equation
   11,856.96 : 17,759.52 = 5,688 : x
2. Step 2: Convert to fraction form
   11,856.96/17,759.52 = 5,688/x
3. Step 3: Cross multiply
   11,856.96x = 17,759.52 × 5,688
4. Step 4: Simplify right side
   11,856.96x = 101,016,149.76
5. Step 5: Solve for x
   x = 101,016,149.76/11,856.96
6. Step 6: Final answer
   x = 8,519.57