Finding the Fourth Proportional to 9,426.66, 13,004.82 and 5,648.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,426.66 : 13,004.82 = 5,648.62 : x
2. Step 2: Convert to fraction form
   9,426.66/13,004.82 = 5,648.62/x
3. Step 3: Cross multiply
   9,426.66x = 13,004.82 × 5,648.62
4. Step 4: Simplify right side
   9,426.66x = 73,459,278.22
5. Step 5: Solve for x
   x = 73,459,278.22/9,426.66
6. Step 6: Final answer
   x = 7,792.71