Finding the Fourth Proportional to 9,649, 13,315.71 and 5,457.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649 : 13,315.71 = 5,457.34 : x
2. Step 2: Convert to fraction form
   9,649/13,315.71 = 5,457.34/x
3. Step 3: Cross multiply
   9,649x = 13,315.71 × 5,457.34
4. Step 4: Simplify right side
   9,649x = 72,668,356.81
5. Step 5: Solve for x
   x = 72,668,356.81/9,649
6. Step 6: Final answer
   x = 7,531.18