Finding the Fourth Proportional to 10,302.74, 14,216.29 and 5,765.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.74 : 14,216.29 = 5,765.40 : x
2. Step 2: Convert to fraction form
   10,302.74/14,216.29 = 5,765.40/x
3. Step 3: Cross multiply
   10,302.74x = 14,216.29 × 5,765.40
4. Step 4: Simplify right side
   10,302.74x = 81,962,598.37
5. Step 5: Solve for x
   x = 81,962,598.37/10,302.74
6. Step 6: Final answer
   x = 7,955.42