Finding the Fourth Proportional to 9,829.88, 14,740.18 and 3,585.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.88 : 14,740.18 = 3,585.48 : x
2. Step 2: Convert to fraction form
   9,829.88/14,740.18 = 3,585.48/x
3. Step 3: Cross multiply
   9,829.88x = 14,740.18 × 3,585.48
4. Step 4: Simplify right side
   9,829.88x = 52,850,620.59
5. Step 5: Solve for x
   x = 52,850,620.59/9,829.88
6. Step 6: Final answer
   x = 5,376.53