Finding the Fourth Proportional to 10,461.12, 14,435.50 and 5,745.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.12 : 14,435.50 = 5,745.64 : x
2. Step 2: Convert to fraction form
   10,461.12/14,435.50 = 5,745.64/x
3. Step 3: Cross multiply
   10,461.12x = 14,435.50 × 5,745.64
4. Step 4: Simplify right side
   10,461.12x = 82,941,186.22
5. Step 5: Solve for x
   x = 82,941,186.22/10,461.12
6. Step 6: Final answer
   x = 7,928.52