Finding the Fourth Proportional to 9,386.01, 12,949.53 and 5,407.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.01 : 12,949.53 = 5,407.02 : x
2. Step 2: Convert to fraction form
   9,386.01/12,949.53 = 5,407.02/x
3. Step 3: Cross multiply
   9,386.01x = 12,949.53 × 5,407.02
4. Step 4: Simplify right side
   9,386.01x = 70,018,367.70
5. Step 5: Solve for x
   x = 70,018,367.70/9,386.01
6. Step 6: Final answer
   x = 7,459.87