Finding the Fourth Proportional to 5,196.82, 7,790.58 and 1,909.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.82 : 7,790.58 = 1,909.14 : x
2. Step 2: Convert to fraction form
   5,196.82/7,790.58 = 1,909.14/x
3. Step 3: Cross multiply
   5,196.82x = 7,790.58 × 1,909.14
4. Step 4: Simplify right side
   5,196.82x = 14,873,307.90
5. Step 5: Solve for x
   x = 14,873,307.90/5,196.82
6. Step 6: Final answer
   x = 2,862.00