Finding the Fourth Proportional to 10,298.10, 14,211.39 and 5,582.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.10 : 14,211.39 = 5,582.34 : x
2. Step 2: Convert to fraction form
   10,298.10/14,211.39 = 5,582.34/x
3. Step 3: Cross multiply
   10,298.10x = 14,211.39 × 5,582.34
4. Step 4: Simplify right side
   10,298.10x = 79,332,810.85
5. Step 5: Solve for x
   x = 79,332,810.85/10,298.10
6. Step 6: Final answer
   x = 7,703.64