Finding the Fourth Proportional to 1,213.58, 1,819.83 and 564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.58 : 1,819.83 = 564.50 : x
2. Step 2: Convert to fraction form
   1,213.58/1,819.83 = 564.50/x
3. Step 3: Cross multiply
   1,213.58x = 1,819.83 × 564.50
4. Step 4: Simplify right side
   1,213.58x = 1,027,294.04
5. Step 5: Solve for x
   x = 1,027,294.04/1,213.58
6. Step 6: Final answer
   x = 846.50