Finding the Fourth Proportional to 3,692.64, 5,096.15 and 2,099.79

Step by Step Solution

1. Step 1: Write the proportion equation
   3,692.64 : 5,096.15 = 2,099.79 : x
2. Step 2: Convert to fraction form
   3,692.64/5,096.15 = 2,099.79/x
3. Step 3: Cross multiply
   3,692.64x = 5,096.15 × 2,099.79
4. Step 4: Simplify right side
   3,692.64x = 10,700,808.83
5. Step 5: Solve for x
   x = 10,700,808.83/3,692.64
6. Step 6: Final answer
   x = 2,897.87