Finding the Fourth Proportional to 9,716.16, 14,561.34 and 3,869.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,716.16 : 14,561.34 = 3,869.56 : x
2. Step 2: Convert to fraction form
   9,716.16/14,561.34 = 3,869.56/x
3. Step 3: Cross multiply
   9,716.16x = 14,561.34 × 3,869.56
4. Step 4: Simplify right side
   9,716.16x = 56,345,978.81
5. Step 5: Solve for x
   x = 56,345,978.81/9,716.16
6. Step 6: Final answer
   x = 5,799.20