Finding the Fourth Proportional to 9,665.96, 13,339.01 and 5,417.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.96 : 13,339.01 = 5,417.05 : x
2. Step 2: Convert to fraction form
   9,665.96/13,339.01 = 5,417.05/x
3. Step 3: Cross multiply
   9,665.96x = 13,339.01 × 5,417.05
4. Step 4: Simplify right side
   9,665.96x = 72,258,084.12
5. Step 5: Solve for x
   x = 72,258,084.12/9,665.96
6. Step 6: Final answer
   x = 7,475.52