Finding the Fourth Proportional to 10,032.27, 13,843.87 and 5,555.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032.27 : 13,843.87 = 5,555.71 : x
2. Step 2: Convert to fraction form
   10,032.27/13,843.87 = 5,555.71/x
3. Step 3: Cross multiply
   10,032.27x = 13,843.87 × 5,555.71
4. Step 4: Simplify right side
   10,032.27x = 76,912,527.00
5. Step 5: Solve for x
   x = 76,912,527.00/10,032.27
6. Step 6: Final answer
   x = 7,666.51