Finding the Fourth Proportional to 10,853.72, 14,978.16 and 5,885.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,853.72 : 14,978.16 = 5,885.72 : x
2. Step 2: Convert to fraction form
   10,853.72/14,978.16 = 5,885.72/x
3. Step 3: Cross multiply
   10,853.72x = 14,978.16 × 5,885.72
4. Step 4: Simplify right side
   10,853.72x = 88,157,255.88
5. Step 5: Solve for x
   x = 88,157,255.88/10,853.72
6. Step 6: Final answer
   x = 8,122.31