Finding the Fourth Proportional to 8,557.83, 12,838.10 and 3,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,557.83 : 12,838.10 = 3,627.50 : x
2. Step 2: Convert to fraction form
   8,557.83/12,838.10 = 3,627.50/x
3. Step 3: Cross multiply
   8,557.83x = 12,838.10 × 3,627.50
4. Step 4: Simplify right side
   8,557.83x = 46,570,125.42
5. Step 5: Solve for x
   x = 46,570,125.42/8,557.83
6. Step 6: Final answer
   x = 5,441.81