Finding the Fourth Proportional to 9,605.81, 13,256.02 and 5,414.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.81 : 13,256.02 = 5,414.06 : x
2. Step 2: Convert to fraction form
   9,605.81/13,256.02 = 5,414.06/x
3. Step 3: Cross multiply
   9,605.81x = 13,256.02 × 5,414.06
4. Step 4: Simplify right side
   9,605.81x = 71,768,927.55
5. Step 5: Solve for x
   x = 71,768,927.55/9,605.81
6. Step 6: Final answer
   x = 7,471.41