Finding the Fourth Proportional to 9,359.30, 12,904.16 and 5,996.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,359.30 : 12,904.16 = 5,996.58 : x
2. Step 2: Convert to fraction form
   9,359.30/12,904.16 = 5,996.58/x
3. Step 3: Cross multiply
   9,359.30x = 12,904.16 × 5,996.58
4. Step 4: Simplify right side
   9,359.30x = 77,380,797.79
5. Step 5: Solve for x
   x = 77,380,797.79/9,359.30
6. Step 6: Final answer
   x = 8,267.80