Finding the Fourth Proportional to 9,189.18, 13,783.86 and 3,643.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.18 : 13,783.86 = 3,643.86 : x
2. Step 2: Convert to fraction form
   9,189.18/13,783.86 = 3,643.86/x
3. Step 3: Cross multiply
   9,189.18x = 13,783.86 × 3,643.86
4. Step 4: Simplify right side
   9,189.18x = 50,226,456.10
5. Step 5: Solve for x
   x = 50,226,456.10/9,189.18
6. Step 6: Final answer
   x = 5,465.83