Finding the Fourth Proportional to 1,211.98, 1,819.05 and 827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,211.98 : 1,819.05 = 827.50 : x
2. Step 2: Convert to fraction form
   1,211.98/1,819.05 = 827.50/x
3. Step 3: Cross multiply
   1,211.98x = 1,819.05 × 827.50
4. Step 4: Simplify right side
   1,211.98x = 1,505,263.88
5. Step 5: Solve for x
   x = 1,505,263.88/1,211.98
6. Step 6: Final answer
   x = 1,241.99