Finding the Fourth Proportional to 9,638.84, 13,301.88 and 5,447

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.84 : 13,301.88 = 5,447 : x
2. Step 2: Convert to fraction form
   9,638.84/13,301.88 = 5,447/x
3. Step 3: Cross multiply
   9,638.84x = 13,301.88 × 5,447
4. Step 4: Simplify right side
   9,638.84x = 72,455,340.36
5. Step 5: Solve for x
   x = 72,455,340.36/9,638.84
6. Step 6: Final answer
   x = 7,517.02