Finding the Fourth Proportional to 13,792.43, 19,033.92 and 7,824.99

Step by Step Solution

1. Step 1: Write the proportion equation
   13,792.43 : 19,033.92 = 7,824.99 : x
2. Step 2: Convert to fraction form
   13,792.43/19,033.92 = 7,824.99/x
3. Step 3: Cross multiply
   13,792.43x = 19,033.92 × 7,824.99
4. Step 4: Simplify right side
   13,792.43x = 148,940,281.25
5. Step 5: Solve for x
   x = 148,940,281.25/13,792.43
6. Step 6: Final answer
   x = 10,798.70