Finding the Fourth Proportional to 10,292.83, 14,204.27 and 5,756.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.83 : 14,204.27 = 5,756.02 : x
2. Step 2: Convert to fraction form
   10,292.83/14,204.27 = 5,756.02/x
3. Step 3: Cross multiply
   10,292.83x = 14,204.27 × 5,756.02
4. Step 4: Simplify right side
   10,292.83x = 81,760,062.21
5. Step 5: Solve for x
   x = 81,760,062.21/10,292.83
6. Step 6: Final answer
   x = 7,943.40