Finding the Fourth Proportional to 9,962.78, 13,748.69 and 5,714

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.78 : 13,748.69 = 5,714 : x
2. Step 2: Convert to fraction form
   9,962.78/13,748.69 = 5,714/x
3. Step 3: Cross multiply
   9,962.78x = 13,748.69 × 5,714
4. Step 4: Simplify right side
   9,962.78x = 78,560,014.66
5. Step 5: Solve for x
   x = 78,560,014.66/9,962.78
6. Step 6: Final answer
   x = 7,885.35