Finding the Fourth Proportional to 10,298.33, 14,211.69 and 5,582.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.33 : 14,211.69 = 5,582.61 : x
2. Step 2: Convert to fraction form
   10,298.33/14,211.69 = 5,582.61/x
3. Step 3: Cross multiply
   10,298.33x = 14,211.69 × 5,582.61
4. Step 4: Simplify right side
   10,298.33x = 79,338,322.71
5. Step 5: Solve for x
   x = 79,338,322.71/10,298.33
6. Step 6: Final answer
   x = 7,704.00