Finding the Fourth Proportional to 9,648.76, 13,315.68 and 5,457

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.76 : 13,315.68 = 5,457 : x
2. Step 2: Convert to fraction form
   9,648.76/13,315.68 = 5,457/x
3. Step 3: Cross multiply
   9,648.76x = 13,315.68 × 5,457
4. Step 4: Simplify right side
   9,648.76x = 72,663,665.76
5. Step 5: Solve for x
   x = 72,663,665.76/9,648.76
6. Step 6: Final answer
   x = 7,530.88