Finding the Fourth Proportional to 1,216.58, 1,824.32 and 567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.58 : 1,824.32 = 567.50 : x
2. Step 2: Convert to fraction form
   1,216.58/1,824.32 = 567.50/x
3. Step 3: Cross multiply
   1,216.58x = 1,824.32 × 567.50
4. Step 4: Simplify right side
   1,216.58x = 1,035,301.60
5. Step 5: Solve for x
   x = 1,035,301.60/1,216.58
6. Step 6: Final answer
   x = 850.99