Finding the Fourth Proportional to 9,649.76, 13,316.82 and 5,671.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.76 : 13,316.82 = 5,671.40 : x
2. Step 2: Convert to fraction form
   9,649.76/13,316.82 = 5,671.40/x
3. Step 3: Cross multiply
   9,649.76x = 13,316.82 × 5,671.40
4. Step 4: Simplify right side
   9,649.76x = 75,525,012.95
5. Step 5: Solve for x
   x = 75,525,012.95/9,649.76
6. Step 6: Final answer
   x = 7,826.62