Finding the Fourth Proportional to 9,382.56, 12,944.64 and 5,842.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.56 : 12,944.64 = 5,842.84 : x
2. Step 2: Convert to fraction form
   9,382.56/12,944.64 = 5,842.84/x
3. Step 3: Cross multiply
   9,382.56x = 12,944.64 × 5,842.84
4. Step 4: Simplify right side
   9,382.56x = 75,633,460.38
5. Step 5: Solve for x
   x = 75,633,460.38/9,382.56
6. Step 6: Final answer
   x = 8,061.07