Finding the Fourth Proportional to 10,298.82, 14,213.89 and 6,522.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.82 : 14,213.89 = 6,522.33 : x
2. Step 2: Convert to fraction form
   10,298.82/14,213.89 = 6,522.33/x
3. Step 3: Cross multiply
   10,298.82x = 14,213.89 × 6,522.33
4. Step 4: Simplify right side
   10,298.82x = 92,707,681.16
5. Step 5: Solve for x
   x = 92,707,681.16/10,298.82
6. Step 6: Final answer
   x = 9,001.78