Finding the Fourth Proportional to 9,301.56, 12,842.22 and 5,769.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,301.56 : 12,842.22 = 5,769.96 : x
2. Step 2: Convert to fraction form
   9,301.56/12,842.22 = 5,769.96/x
3. Step 3: Cross multiply
   9,301.56x = 12,842.22 × 5,769.96
4. Step 4: Simplify right side
   9,301.56x = 74,099,095.71
5. Step 5: Solve for x
   x = 74,099,095.71/9,301.56
6. Step 6: Final answer
   x = 7,966.31