Finding the Fourth Proportional to 10,298.64, 14,212.14 and 5,582.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.64 : 14,212.14 = 5,582.94 : x
2. Step 2: Convert to fraction form
   10,298.64/14,212.14 = 5,582.94/x
3. Step 3: Cross multiply
   10,298.64x = 14,212.14 × 5,582.94
4. Step 4: Simplify right side
   10,298.64x = 79,345,524.89
5. Step 5: Solve for x
   x = 79,345,524.89/10,298.64
6. Step 6: Final answer
   x = 7,704.47