Finding the Fourth Proportional to 9,648.58, 13,315.68 and 5,400.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.58 : 13,315.68 = 5,400.04 : x
2. Step 2: Convert to fraction form
   9,648.58/13,315.68 = 5,400.04/x
3. Step 3: Cross multiply
   9,648.58x = 13,315.68 × 5,400.04
4. Step 4: Simplify right side
   9,648.58x = 71,905,204.63
5. Step 5: Solve for x
   x = 71,905,204.63/9,648.58
6. Step 6: Final answer
   x = 7,452.41