Finding the Fourth Proportional to 9,788.50, 14,684.91 and 3,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.50 : 14,684.91 = 3,632.50 : x
2. Step 2: Convert to fraction form
   9,788.50/14,684.91 = 3,632.50/x
3. Step 3: Cross multiply
   9,788.50x = 14,684.91 × 3,632.50
4. Step 4: Simplify right side
   9,788.50x = 53,342,935.58
5. Step 5: Solve for x
   x = 53,342,935.58/9,788.50
6. Step 6: Final answer
   x = 5,449.55