Finding the Fourth Proportional to 10,846, 14,967.48 and 5,878

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846 : 14,967.48 = 5,878 : x
2. Step 2: Convert to fraction form
   10,846/14,967.48 = 5,878/x
3. Step 3: Cross multiply
   10,846x = 14,967.48 × 5,878
4. Step 4: Simplify right side
   10,846x = 87,978,847.44
5. Step 5: Solve for x
   x = 87,978,847.44/10,846
6. Step 6: Final answer
   x = 8,111.64