Finding the Fourth Proportional to 10,321.62, 14,243.84 and 5,606

Step by Step Solution

1. Step 1: Write the proportion equation
   10,321.62 : 14,243.84 = 5,606 : x
2. Step 2: Convert to fraction form
   10,321.62/14,243.84 = 5,606/x
3. Step 3: Cross multiply
   10,321.62x = 14,243.84 × 5,606
4. Step 4: Simplify right side
   10,321.62x = 79,850,967.04
5. Step 5: Solve for x
   x = 79,850,967.04/10,321.62
6. Step 6: Final answer
   x = 7,736.28