Finding the Fourth Proportional to 10,298.34, 14,211.72 and 5,582.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.34 : 14,211.72 = 5,582.59 : x
2. Step 2: Convert to fraction form
   10,298.34/14,211.72 = 5,582.59/x
3. Step 3: Cross multiply
   10,298.34x = 14,211.72 × 5,582.59
4. Step 4: Simplify right side
   10,298.34x = 79,338,170.43
5. Step 5: Solve for x
   x = 79,338,170.43/10,298.34
6. Step 6: Final answer
   x = 7,703.98