Finding the Fourth Proportional to 9,386.28, 12,952.02 and 5,406.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.28 : 12,952.02 = 5,406.60 : x
2. Step 2: Convert to fraction form
   9,386.28/12,952.02 = 5,406.60/x
3. Step 3: Cross multiply
   9,386.28x = 12,952.02 × 5,406.60
4. Step 4: Simplify right side
   9,386.28x = 70,026,391.33
5. Step 5: Solve for x
   x = 70,026,391.33/9,386.28
6. Step 6: Final answer
   x = 7,460.51