Finding the Fourth Proportional to 13,078.81, 19,607.16 and 5,677.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,078.81 : 19,607.16 = 5,677.71 : x
2. Step 2: Convert to fraction form
   13,078.81/19,607.16 = 5,677.71/x
3. Step 3: Cross multiply
   13,078.81x = 19,607.16 × 5,677.71
4. Step 4: Simplify right side
   13,078.81x = 111,323,768.40
5. Step 5: Solve for x
   x = 111,323,768.40/13,078.81
6. Step 6: Final answer
   x = 8,511.77