Finding the Fourth Proportional to 3,897.86, 5,832.45 and 3,686.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.86 : 5,832.45 = 3,686.76 : x
2. Step 2: Convert to fraction form
   3,897.86/5,832.45 = 3,686.76/x
3. Step 3: Cross multiply
   3,897.86x = 5,832.45 × 3,686.76
4. Step 4: Simplify right side
   3,897.86x = 21,502,843.36
5. Step 5: Solve for x
   x = 21,502,843.36/3,897.86
6. Step 6: Final answer
   x = 5,516.58