Finding the Fourth Proportional to 13,796.74, 19,038.94 and 7,828.28

Step by Step Solution

1. Step 1: Write the proportion equation
   13,796.74 : 19,038.94 = 7,828.28 : x
2. Step 2: Convert to fraction form
   13,796.74/19,038.94 = 7,828.28/x
3. Step 3: Cross multiply
   13,796.74x = 19,038.94 × 7,828.28
4. Step 4: Simplify right side
   13,796.74x = 149,042,066.48
5. Step 5: Solve for x
   x = 149,042,066.48/13,796.74
6. Step 6: Final answer
   x = 10,802.70