Finding the Fourth Proportional to 10,460.46, 14,435.64 and 5,745

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.46 : 14,435.64 = 5,745 : x
2. Step 2: Convert to fraction form
   10,460.46/14,435.64 = 5,745/x
3. Step 3: Cross multiply
   10,460.46x = 14,435.64 × 5,745
4. Step 4: Simplify right side
   10,460.46x = 82,932,751.80
5. Step 5: Solve for x
   x = 82,932,751.80/10,460.46
6. Step 6: Final answer
   x = 7,928.21