Finding the Fourth Proportional to 10,297.98, 14,211.18 and 5,582.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.98 : 14,211.18 = 5,582.26 : x
2. Step 2: Convert to fraction form
   10,297.98/14,211.18 = 5,582.26/x
3. Step 3: Cross multiply
   10,297.98x = 14,211.18 × 5,582.26
4. Step 4: Simplify right side
   10,297.98x = 79,330,501.67
5. Step 5: Solve for x
   x = 79,330,501.67/10,297.98
6. Step 6: Final answer
   x = 7,703.50