Finding the Fourth Proportional to 9,606.25, 13,256.83 and 5,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.25 : 13,256.83 = 5,414.50 : x
2. Step 2: Convert to fraction form
   9,606.25/13,256.83 = 5,414.50/x
3. Step 3: Cross multiply
   9,606.25x = 13,256.83 × 5,414.50
4. Step 4: Simplify right side
   9,606.25x = 71,779,106.04
5. Step 5: Solve for x
   x = 71,779,106.04/9,606.25
6. Step 6: Final answer
   x = 7,472.13