Finding the Fourth Proportional to 10,464.90, 14,454.33 and 7,824.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.90 : 14,454.33 = 7,824.03 : x
2. Step 2: Convert to fraction form
   10,464.90/14,454.33 = 7,824.03/x
3. Step 3: Cross multiply
   10,464.90x = 14,454.33 × 7,824.03
4. Step 4: Simplify right side
   10,464.90x = 113,091,111.55
5. Step 5: Solve for x
   x = 113,091,111.55/10,464.90
6. Step 6: Final answer
   x = 10,806.71