Finding the Fourth Proportional to 10,274.49, 14,178.56 and 5,798.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.49 : 14,178.56 = 5,798.12 : x
2. Step 2: Convert to fraction form
   10,274.49/14,178.56 = 5,798.12/x
3. Step 3: Cross multiply
   10,274.49x = 14,178.56 × 5,798.12
4. Step 4: Simplify right side
   10,274.49x = 82,208,892.42
5. Step 5: Solve for x
   x = 82,208,892.42/10,274.49
6. Step 6: Final answer
   x = 8,001.26