Finding the Fourth Proportional to 10,251.14, 14,146.47 and 5,776.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,251.14 : 14,146.47 = 5,776.29 : x
2. Step 2: Convert to fraction form
   10,251.14/14,146.47 = 5,776.29/x
3. Step 3: Cross multiply
   10,251.14x = 14,146.47 × 5,776.29
4. Step 4: Simplify right side
   10,251.14x = 81,714,113.20
5. Step 5: Solve for x
   x = 81,714,113.20/10,251.14
6. Step 6: Final answer
   x = 7,971.23