Finding the Fourth Proportional to 10,460.61, 14,435.66 and 5,745.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.61 : 14,435.66 = 5,745.20 : x
2. Step 2: Convert to fraction form
   10,460.61/14,435.66 = 5,745.20/x
3. Step 3: Cross multiply
   10,460.61x = 14,435.66 × 5,745.20
4. Step 4: Simplify right side
   10,460.61x = 82,935,753.83
5. Step 5: Solve for x
   x = 82,935,753.83/10,460.61
6. Step 6: Final answer
   x = 7,928.39