Finding the Fourth Proportional to 3,899.86, 5,835.45 and 3,688.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,899.86 : 5,835.45 = 3,688.76 : x
2. Step 2: Convert to fraction form
   3,899.86/5,835.45 = 3,688.76/x
3. Step 3: Cross multiply
   3,899.86x = 5,835.45 × 3,688.76
4. Step 4: Simplify right side
   3,899.86x = 21,525,574.54
5. Step 5: Solve for x
   x = 21,525,574.54/3,899.86
6. Step 6: Final answer
   x = 5,519.58