Finding the Fourth Proportional to 10,464.01, 14,449.71 and 7,806.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.01 : 14,449.71 = 7,806.81 : x
2. Step 2: Convert to fraction form
   10,464.01/14,449.71 = 7,806.81/x
3. Step 3: Cross multiply
   10,464.01x = 14,449.71 × 7,806.81
4. Step 4: Simplify right side
   10,464.01x = 112,806,140.53
5. Step 5: Solve for x
   x = 112,806,140.53/10,464.01
6. Step 6: Final answer
   x = 10,780.39