Finding the Fourth Proportional to 9,892.10, 14,839.61 and 2,871.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.10 : 14,839.61 = 2,871.20 : x
2. Step 2: Convert to fraction form
   9,892.10/14,839.61 = 2,871.20/x
3. Step 3: Cross multiply
   9,892.10x = 14,839.61 × 2,871.20
4. Step 4: Simplify right side
   9,892.10x = 42,607,477.47
5. Step 5: Solve for x
   x = 42,607,477.47/9,892.10
6. Step 6: Final answer
   x = 4,307.22