Finding the Fourth Proportional to 10,274.47, 14,178.88 and 5,798.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.47 : 14,178.88 = 5,798.27 : x
2. Step 2: Convert to fraction form
   10,274.47/14,178.88 = 5,798.27/x
3. Step 3: Cross multiply
   10,274.47x = 14,178.88 × 5,798.27
4. Step 4: Simplify right side
   10,274.47x = 82,213,017.23
5. Step 5: Solve for x
   x = 82,213,017.23/10,274.47
6. Step 6: Final answer
   x = 8,001.68