Finding the Fourth Proportional to 9,659.49, 14,494.37 and 3,816.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,659.49 : 14,494.37 = 3,816.15 : x
2. Step 2: Convert to fraction form
   9,659.49/14,494.37 = 3,816.15/x
3. Step 3: Cross multiply
   9,659.49x = 14,494.37 × 3,816.15
4. Step 4: Simplify right side
   9,659.49x = 55,312,670.99
5. Step 5: Solve for x
   x = 55,312,670.99/9,659.49
6. Step 6: Final answer
   x = 5,726.25