Finding the Fourth Proportional to 5,665.15, 7,818.75 and 4,077.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.15 : 7,818.75 = 4,077.05 : x
2. Step 2: Convert to fraction form
   5,665.15/7,818.75 = 4,077.05/x
3. Step 3: Cross multiply
   5,665.15x = 7,818.75 × 4,077.05
4. Step 4: Simplify right side
   5,665.15x = 31,877,454.23
5. Step 5: Solve for x
   x = 31,877,454.23/5,665.15
6. Step 6: Final answer
   x = 5,626.94