Finding the Fourth Proportional to 10,201.40, 14,079.35 and 5,665.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.40 : 14,079.35 = 5,665.10 : x
2. Step 2: Convert to fraction form
   10,201.40/14,079.35 = 5,665.10/x
3. Step 3: Cross multiply
   10,201.40x = 14,079.35 × 5,665.10
4. Step 4: Simplify right side
   10,201.40x = 79,760,826.96
5. Step 5: Solve for x
   x = 79,760,826.96/10,201.40
6. Step 6: Final answer
   x = 7,818.62