Finding the Fourth Proportional to 13,797.98, 19,039.65 and 7,828.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,797.98 : 19,039.65 = 7,828.10 : x
2. Step 2: Convert to fraction form
   13,797.98/19,039.65 = 7,828.10/x
3. Step 3: Cross multiply
   13,797.98x = 19,039.65 × 7,828.10
4. Step 4: Simplify right side
   13,797.98x = 149,044,284.17
5. Step 5: Solve for x
   x = 149,044,284.17/13,797.98
6. Step 6: Final answer
   x = 10,801.89