Finding the Fourth Proportional to 13,796.91, 19,038.78 and 7,828.70

Step by Step Solution

1. Step 1: Write the proportion equation
   13,796.91 : 19,038.78 = 7,828.70 : x
2. Step 2: Convert to fraction form
   13,796.91/19,038.78 = 7,828.70/x
3. Step 3: Cross multiply
   13,796.91x = 19,038.78 × 7,828.70
4. Step 4: Simplify right side
   13,796.91x = 149,048,801.79
5. Step 5: Solve for x
   x = 149,048,801.79/13,796.91
6. Step 6: Final answer
   x = 10,803.06