Finding the Fourth Proportional to 10,499.76, 14,499 and 7,842.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.76 : 14,499 = 7,842.60 : x
2. Step 2: Convert to fraction form
   10,499.76/14,499 = 7,842.60/x
3. Step 3: Cross multiply
   10,499.76x = 14,499 × 7,842.60
4. Step 4: Simplify right side
   10,499.76x = 113,709,857.40
5. Step 5: Solve for x
   x = 113,709,857.40/10,499.76
6. Step 6: Final answer
   x = 10,829.76