Finding the Fourth Proportional to 10,298.09, 14,211.31 and 5,582.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.09 : 14,211.31 = 5,582.36 : x
2. Step 2: Convert to fraction form
   10,298.09/14,211.31 = 5,582.36/x
3. Step 3: Cross multiply
   10,298.09x = 14,211.31 × 5,582.36
4. Step 4: Simplify right side
   10,298.09x = 79,332,648.49
5. Step 5: Solve for x
   x = 79,332,648.49/10,298.09
6. Step 6: Final answer
   x = 7,703.63