Finding the Fourth Proportional to 5,196.82, 7,795.00 and 1,909.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.82 : 7,795.00 = 1,909.67 : x
2. Step 2: Convert to fraction form
   5,196.82/7,795.00 = 1,909.67/x
3. Step 3: Cross multiply
   5,196.82x = 7,795.00 × 1,909.67
4. Step 4: Simplify right side
   5,196.82x = 14,885,868.10
5. Step 5: Solve for x
   x = 14,885,868.10/5,196.82
6. Step 6: Final answer
   x = 2,864.42