Finding the Fourth Proportional to 9,827.80, 14,750.17 and 5,151.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.80 : 14,750.17 = 5,151.06 : x
2. Step 2: Convert to fraction form
   9,827.80/14,750.17 = 5,151.06/x
3. Step 3: Cross multiply
   9,827.80x = 14,750.17 × 5,151.06
4. Step 4: Simplify right side
   9,827.80x = 75,978,997.80
5. Step 5: Solve for x
   x = 75,978,997.80/9,827.80
6. Step 6: Final answer
   x = 7,731.03