Finding the Fourth Proportional to 14,089.78, 19,443.90 and 7,802.16

Step by Step Solution

1. Step 1: Write the proportion equation
   14,089.78 : 19,443.90 = 7,802.16 : x
2. Step 2: Convert to fraction form
   14,089.78/19,443.90 = 7,802.16/x
3. Step 3: Cross multiply
   14,089.78x = 19,443.90 × 7,802.16
4. Step 4: Simplify right side
   14,089.78x = 151,704,375.17
5. Step 5: Solve for x
   x = 151,704,375.17/14,089.78
6. Step 6: Final answer
   x = 10,766.98