Finding the Fourth Proportional to 9,386.96, 12,953.12 and 5,609.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.96 : 12,953.12 = 5,609.37 : x
2. Step 2: Convert to fraction form
   9,386.96/12,953.12 = 5,609.37/x
3. Step 3: Cross multiply
   9,386.96x = 12,953.12 × 5,609.37
4. Step 4: Simplify right side
   9,386.96x = 72,658,842.73
5. Step 5: Solve for x
   x = 72,658,842.73/9,386.96
6. Step 6: Final answer
   x = 7,740.41