Finding the Fourth Proportional to 10,242.06, 14,132.70 and 5,765.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,242.06 : 14,132.70 = 5,765.10 : x
2. Step 2: Convert to fraction form
   10,242.06/14,132.70 = 5,765.10/x
3. Step 3: Cross multiply
   10,242.06x = 14,132.70 × 5,765.10
4. Step 4: Simplify right side
   10,242.06x = 81,476,428.77
5. Step 5: Solve for x
   x = 81,476,428.77/10,242.06
6. Step 6: Final answer
   x = 7,955.08