Finding the Fourth Proportional to 9,390.64, 12,958.10 and 5,613.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,390.64 : 12,958.10 = 5,613.06 : x
2. Step 2: Convert to fraction form
   9,390.64/12,958.10 = 5,613.06/x
3. Step 3: Cross multiply
   9,390.64x = 12,958.10 × 5,613.06
4. Step 4: Simplify right side
   9,390.64x = 72,734,592.79
5. Step 5: Solve for x
   x = 72,734,592.79/9,390.64
6. Step 6: Final answer
   x = 7,745.44