Finding the Fourth Proportional to 1,097.96, 1,515.38 and 819.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.96 : 1,515.38 = 819.59 : x
2. Step 2: Convert to fraction form
   1,097.96/1,515.38 = 819.59/x
3. Step 3: Cross multiply
   1,097.96x = 1,515.38 × 819.59
4. Step 4: Simplify right side
   1,097.96x = 1,241,978.62
5. Step 5: Solve for x
   x = 1,241,978.62/1,097.96
6. Step 6: Final answer
   x = 1,131.17