Finding the Fourth Proportional to 10,298.37, 14,211.75 and 5,582.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.37 : 14,211.75 = 5,582.64 : x
2. Step 2: Convert to fraction form
   10,298.37/14,211.75 = 5,582.64/x
3. Step 3: Cross multiply
   10,298.37x = 14,211.75 × 5,582.64
4. Step 4: Simplify right side
   10,298.37x = 79,339,084.02
5. Step 5: Solve for x
   x = 79,339,084.02/10,298.37
6. Step 6: Final answer
   x = 7,704.04