Finding the Fourth Proportional to 10,298.49, 14,211.99 and 5,582.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.49 : 14,211.99 = 5,582.78 : x
2. Step 2: Convert to fraction form
   10,298.49/14,211.99 = 5,582.78/x
3. Step 3: Cross multiply
   10,298.49x = 14,211.99 × 5,582.78
4. Step 4: Simplify right side
   10,298.49x = 79,342,342.47
5. Step 5: Solve for x
   x = 79,342,342.47/10,298.49
6. Step 6: Final answer
   x = 7,704.27