Finding the Fourth Proportional to 9,402.59, 12,970.42 and 5,993.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402.59 : 12,970.42 = 5,993.27 : x
2. Step 2: Convert to fraction form
   9,402.59/12,970.42 = 5,993.27/x
3. Step 3: Cross multiply
   9,402.59x = 12,970.42 × 5,993.27
4. Step 4: Simplify right side
   9,402.59x = 77,735,149.24
5. Step 5: Solve for x
   x = 77,735,149.24/9,402.59
6. Step 6: Final answer
   x = 8,267.42