Finding the Fourth Proportional to 1,215.91, 1,824.47 and 566.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.91 : 1,824.47 = 566.56 : x
2. Step 2: Convert to fraction form
   1,215.91/1,824.47 = 566.56/x
3. Step 3: Cross multiply
   1,215.91x = 1,824.47 × 566.56
4. Step 4: Simplify right side
   1,215.91x = 1,033,671.72
5. Step 5: Solve for x
   x = 1,033,671.72/1,215.91
6. Step 6: Final answer
   x = 850.12