Finding the Fourth Proportional to 13,796.88, 19,039.02 and 7,829.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,796.88 : 19,039.02 = 7,829.10 : x
2. Step 2: Convert to fraction form
   13,796.88/19,039.02 = 7,829.10/x
3. Step 3: Cross multiply
   13,796.88x = 19,039.02 × 7,829.10
4. Step 4: Simplify right side
   13,796.88x = 149,058,391.48
5. Step 5: Solve for x
   x = 149,058,391.48/13,796.88
6. Step 6: Final answer
   x = 10,803.78