Finding the Fourth Proportional to 5,106.37, 7,663.36 and 3,793.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.37 : 7,663.36 = 3,793.15 : x
2. Step 2: Convert to fraction form
   5,106.37/7,663.36 = 3,793.15/x
3. Step 3: Cross multiply
   5,106.37x = 7,663.36 × 3,793.15
4. Step 4: Simplify right side
   5,106.37x = 29,068,273.98
5. Step 5: Solve for x
   x = 29,068,273.98/5,106.37
6. Step 6: Final answer
   x = 5,692.56