Finding the Fourth Proportional to 4,111.60, 6,128.31 and 3,878.07

Step by Step Solution

1. Step 1: Write the proportion equation
   4,111.60 : 6,128.31 = 3,878.07 : x
2. Step 2: Convert to fraction form
   4,111.60/6,128.31 = 3,878.07/x
3. Step 3: Cross multiply
   4,111.60x = 6,128.31 × 3,878.07
4. Step 4: Simplify right side
   4,111.60x = 23,766,012.98
5. Step 5: Solve for x
   x = 23,766,012.98/4,111.60
6. Step 6: Final answer
   x = 5,780.23