Finding the Fourth Proportional to 1,216.38, 1,823.34 and 523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.38 : 1,823.34 = 523.50 : x
2. Step 2: Convert to fraction form
   1,216.38/1,823.34 = 523.50/x
3. Step 3: Cross multiply
   1,216.38x = 1,823.34 × 523.50
4. Step 4: Simplify right side
   1,216.38x = 954,518.49
5. Step 5: Solve for x
   x = 954,518.49/1,216.38
6. Step 6: Final answer
   x = 784.72