Finding the Fourth Proportional to 9,382.32, 12,944.64 and 5,842.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.32 : 12,944.64 = 5,842.56 : x
2. Step 2: Convert to fraction form
   9,382.32/12,944.64 = 5,842.56/x
3. Step 3: Cross multiply
   9,382.32x = 12,944.64 × 5,842.56
4. Step 4: Simplify right side
   9,382.32x = 75,629,835.88
5. Step 5: Solve for x
   x = 75,629,835.88/9,382.32
6. Step 6: Final answer
   x = 8,060.89