Finding the Fourth Proportional to 10,298.34, 14,211.68 and 5,582.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.34 : 14,211.68 = 5,582.62 : x
2. Step 2: Convert to fraction form
   10,298.34/14,211.68 = 5,582.62/x
3. Step 3: Cross multiply
   10,298.34x = 14,211.68 × 5,582.62
4. Step 4: Simplify right side
   10,298.34x = 79,338,409.00
5. Step 5: Solve for x
   x = 79,338,409.00/10,298.34
6. Step 6: Final answer
   x = 7,704.00