Finding the Fourth Proportional to 9,346.02, 12,897.24 and 5,097.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,346.02 : 12,897.24 = 5,097.20 : x
2. Step 2: Convert to fraction form
   9,346.02/12,897.24 = 5,097.20/x
3. Step 3: Cross multiply
   9,346.02x = 12,897.24 × 5,097.20
4. Step 4: Simplify right side
   9,346.02x = 65,739,811.73
5. Step 5: Solve for x
   x = 65,739,811.73/9,346.02
6. Step 6: Final answer
   x = 7,033.99