Finding the Fourth Proportional to 10,499.80, 14,489.64 and 7,823.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.80 : 14,489.64 = 7,823.02 : x
2. Step 2: Convert to fraction form
   10,499.80/14,489.64 = 7,823.02/x
3. Step 3: Cross multiply
   10,499.80x = 14,489.64 × 7,823.02
4. Step 4: Simplify right side
   10,499.80x = 113,352,743.51
5. Step 5: Solve for x
   x = 113,352,743.51/10,499.80
6. Step 6: Final answer
   x = 10,795.71