Finding the Fourth Proportional to 9,187.86, 13,771.98 and 3,638.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,187.86 : 13,771.98 = 3,638.82 : x
2. Step 2: Convert to fraction form
   9,187.86/13,771.98 = 3,638.82/x
3. Step 3: Cross multiply
   9,187.86x = 13,771.98 × 3,638.82
4. Step 4: Simplify right side
   9,187.86x = 50,113,756.26
5. Step 5: Solve for x
   x = 50,113,756.26/9,187.86
6. Step 6: Final answer
   x = 5,454.34