Finding the Fourth Proportional to 5,874.64, 8,105.40 and 3,779.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,874.64 : 8,105.40 = 3,779.98 : x
2. Step 2: Convert to fraction form
   5,874.64/8,105.40 = 3,779.98/x
3. Step 3: Cross multiply
   5,874.64x = 8,105.40 × 3,779.98
4. Step 4: Simplify right side
   5,874.64x = 30,638,249.89
5. Step 5: Solve for x
   x = 30,638,249.89/5,874.64
6. Step 6: Final answer
   x = 5,215.34