Finding the Fourth Proportional to 10,978.83, 15,133.05 and 8,584.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.83 : 15,133.05 = 8,584.56 : x
2. Step 2: Convert to fraction form
   10,978.83/15,133.05 = 8,584.56/x
3. Step 3: Cross multiply
   10,978.83x = 15,133.05 × 8,584.56
4. Step 4: Simplify right side
   10,978.83x = 129,910,575.71
5. Step 5: Solve for x
   x = 129,910,575.71/10,978.83
6. Step 6: Final answer
   x = 11,832.83