Finding the Fourth Proportional to 13,792.88, 19,033.50 and 7,825.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,792.88 : 19,033.50 = 7,825.10 : x
2. Step 2: Convert to fraction form
   13,792.88/19,033.50 = 7,825.10/x
3. Step 3: Cross multiply
   13,792.88x = 19,033.50 × 7,825.10
4. Step 4: Simplify right side
   13,792.88x = 148,939,040.85
5. Step 5: Solve for x
   x = 148,939,040.85/13,792.88
6. Step 6: Final answer
   x = 10,798.26