Finding the Fourth Proportional to 9,647.76, 13,314.30 and 5,456

Step by Step Solution

1. Step 1: Write the proportion equation
   9,647.76 : 13,314.30 = 5,456 : x
2. Step 2: Convert to fraction form
   9,647.76/13,314.30 = 5,456/x
3. Step 3: Cross multiply
   9,647.76x = 13,314.30 × 5,456
4. Step 4: Simplify right side
   9,647.76x = 72,642,820.80
5. Step 5: Solve for x
   x = 72,642,820.80/9,647.76
6. Step 6: Final answer
   x = 7,529.50