Finding the Fourth Proportional to 5,105.16, 7,642.80 and 3,877.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.16 : 7,642.80 = 3,877.38 : x
2. Step 2: Convert to fraction form
   5,105.16/7,642.80 = 3,877.38/x
3. Step 3: Cross multiply
   5,105.16x = 7,642.80 × 3,877.38
4. Step 4: Simplify right side
   5,105.16x = 29,634,039.86
5. Step 5: Solve for x
   x = 29,634,039.86/5,105.16
6. Step 6: Final answer
   x = 5,804.72