Finding the Fourth Proportional to 10,461.63, 14,436.45 and 5,745.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.63 : 14,436.45 = 5,745.81 : x
2. Step 2: Convert to fraction form
   10,461.63/14,436.45 = 5,745.81/x
3. Step 3: Cross multiply
   10,461.63x = 14,436.45 × 5,745.81
4. Step 4: Simplify right side
   10,461.63x = 82,949,098.77
5. Step 5: Solve for x
   x = 82,949,098.77/10,461.63
6. Step 6: Final answer
   x = 7,928.89