Finding the Fourth Proportional to 10,298.12, 14,211.43 and 5,582.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.12 : 14,211.43 = 5,582.42 : x
2. Step 2: Convert to fraction form
   10,298.12/14,211.43 = 5,582.42/x
3. Step 3: Cross multiply
   10,298.12x = 14,211.43 × 5,582.42
4. Step 4: Simplify right side
   10,298.12x = 79,334,086.05
5. Step 5: Solve for x
   x = 79,334,086.05/10,298.12
6. Step 6: Final answer
   x = 7,703.74