Finding the Fourth Proportional to 10,854, 14,978.52 and 5,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854 : 14,978.52 = 5,886 : x
2. Step 2: Convert to fraction form
   10,854/14,978.52 = 5,886/x
3. Step 3: Cross multiply
   10,854x = 14,978.52 × 5,886
4. Step 4: Simplify right side
   10,854x = 88,163,568.72
5. Step 5: Solve for x
   x = 88,163,568.72/10,854
6. Step 6: Final answer
   x = 8,122.68