Finding the Fourth Proportional to 10,298.48, 14,212.02 and 5,582.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.48 : 14,212.02 = 5,582.80 : x
2. Step 2: Convert to fraction form
   10,298.48/14,212.02 = 5,582.80/x
3. Step 3: Cross multiply
   10,298.48x = 14,212.02 × 5,582.80
4. Step 4: Simplify right side
   10,298.48x = 79,342,865.26
5. Step 5: Solve for x
   x = 79,342,865.26/10,298.48
6. Step 6: Final answer
   x = 7,704.33