Finding the Fourth Proportional to 9,358.59, 12,914.33 and 5,586.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.59 : 12,914.33 = 5,586.02 : x
2. Step 2: Convert to fraction form
   9,358.59/12,914.33 = 5,586.02/x
3. Step 3: Cross multiply
   9,358.59x = 12,914.33 × 5,586.02
4. Step 4: Simplify right side
   9,358.59x = 72,139,613.16
5. Step 5: Solve for x
   x = 72,139,613.16/9,358.59
6. Step 6: Final answer
   x = 7,708.38