Finding the Fourth Proportional to 9,534.72, 13,146.64 and 7,644.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,534.72 : 13,146.64 = 7,644.84 : x
2. Step 2: Convert to fraction form
   9,534.72/13,146.64 = 7,644.84/x
3. Step 3: Cross multiply
   9,534.72x = 13,146.64 × 7,644.84
4. Step 4: Simplify right side
   9,534.72x = 100,503,959.34
5. Step 5: Solve for x
   x = 100,503,959.34/9,534.72
6. Step 6: Final answer
   x = 10,540.84