Finding the Fourth Proportional to 12,697.61, 19,048.79 and 5,677.90

Step by Step Solution

1. Step 1: Write the proportion equation
   12,697.61 : 19,048.79 = 5,677.90 : x
2. Step 2: Convert to fraction form
   12,697.61/19,048.79 = 5,677.90/x
3. Step 3: Cross multiply
   12,697.61x = 19,048.79 × 5,677.90
4. Step 4: Simplify right side
   12,697.61x = 108,157,091.31
5. Step 5: Solve for x
   x = 108,157,091.31/12,697.61
6. Step 6: Final answer
   x = 8,517.91