Finding the Fourth Proportional to 10,252.23, 14,147.91 and 5,776.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252.23 : 14,147.91 = 5,776.38 : x
2. Step 2: Convert to fraction form
   10,252.23/14,147.91 = 5,776.38/x
3. Step 3: Cross multiply
   10,252.23x = 14,147.91 × 5,776.38
4. Step 4: Simplify right side
   10,252.23x = 81,723,704.37
5. Step 5: Solve for x
   x = 81,723,704.37/10,252.23
6. Step 6: Final answer
   x = 7,971.31