Finding the Fourth Proportional to 9,628.86, 13,290.96 and 5,649.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628.86 : 13,290.96 = 5,649.87 : x
2. Step 2: Convert to fraction form
   9,628.86/13,290.96 = 5,649.87/x
3. Step 3: Cross multiply
   9,628.86x = 13,290.96 × 5,649.87
4. Step 4: Simplify right side
   9,628.86x = 75,092,196.18
5. Step 5: Solve for x
   x = 75,092,196.18/9,628.86
6. Step 6: Final answer
   x = 7,798.66