Finding the Fourth Proportional to 9,634.80, 13,293.88 and 5,601

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.80 : 13,293.88 = 5,601 : x
2. Step 2: Convert to fraction form
   9,634.80/13,293.88 = 5,601/x
3. Step 3: Cross multiply
   9,634.80x = 13,293.88 × 5,601
4. Step 4: Simplify right side
   9,634.80x = 74,459,021.88
5. Step 5: Solve for x
   x = 74,459,021.88/9,634.80
6. Step 6: Final answer
   x = 7,728.13