Finding the Fourth Proportional to 9,643.76, 14,456.86 and 3,799

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.76 : 14,456.86 = 3,799 : x
2. Step 2: Convert to fraction form
   9,643.76/14,456.86 = 3,799/x
3. Step 3: Cross multiply
   9,643.76x = 14,456.86 × 3,799
4. Step 4: Simplify right side
   9,643.76x = 54,921,611.14
5. Step 5: Solve for x
   x = 54,921,611.14/9,643.76
6. Step 6: Final answer
   x = 5,695.04