Finding the Fourth Proportional to 14,116.24, 19,480.56 and 7,829.02

Step by Step Solution

1. Step 1: Write the proportion equation
   14,116.24 : 19,480.56 = 7,829.02 : x
2. Step 2: Convert to fraction form
   14,116.24/19,480.56 = 7,829.02/x
3. Step 3: Cross multiply
   14,116.24x = 19,480.56 × 7,829.02
4. Step 4: Simplify right side
   14,116.24x = 152,513,693.85
5. Step 5: Solve for x
   x = 152,513,693.85/14,116.24
6. Step 6: Final answer
   x = 10,804.13