Finding the Fourth Proportional to 7,677.39, 10,595.82 and 5,693.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,677.39 : 10,595.82 = 5,693.61 : x
2. Step 2: Convert to fraction form
   7,677.39/10,595.82 = 5,693.61/x
3. Step 3: Cross multiply
   7,677.39x = 10,595.82 × 5,693.61
4. Step 4: Simplify right side
   7,677.39x = 60,328,466.71
5. Step 5: Solve for x
   x = 60,328,466.71/7,677.39
6. Step 6: Final answer
   x = 7,857.94