Finding the Fourth Proportional to 9,386.25, 12,949.88 and 5,407.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.25 : 12,949.88 = 5,407.27 : x
2. Step 2: Convert to fraction form
   9,386.25/12,949.88 = 5,407.27/x
3. Step 3: Cross multiply
   9,386.25x = 12,949.88 × 5,407.27
4. Step 4: Simplify right side
   9,386.25x = 70,023,497.63
5. Step 5: Solve for x
   x = 70,023,497.63/9,386.25
6. Step 6: Final answer
   x = 7,460.22