Finding the Fourth Proportional to 10,298.63, 14,212.12 and 5,582.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.63 : 14,212.12 = 5,582.92 : x
2. Step 2: Convert to fraction form
   10,298.63/14,212.12 = 5,582.92/x
3. Step 3: Cross multiply
   10,298.63x = 14,212.12 × 5,582.92
4. Step 4: Simplify right side
   10,298.63x = 79,345,057.93
5. Step 5: Solve for x
   x = 79,345,057.93/10,298.63
6. Step 6: Final answer
   x = 7,704.43