Finding the Fourth Proportional to 10,298.39, 14,211.87 and 5,582.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.39 : 14,211.87 = 5,582.67 : x
2. Step 2: Convert to fraction form
   10,298.39/14,211.87 = 5,582.67/x
3. Step 3: Cross multiply
   10,298.39x = 14,211.87 × 5,582.67
4. Step 4: Simplify right side
   10,298.39x = 79,340,180.29
5. Step 5: Solve for x
   x = 79,340,180.29/10,298.39
6. Step 6: Final answer
   x = 7,704.14