Finding the Fourth Proportional to 2,209.78, 3,314.59 and 566.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.78 : 3,314.59 = 566.34 : x
2. Step 2: Convert to fraction form
   2,209.78/3,314.59 = 566.34/x
3. Step 3: Cross multiply
   2,209.78x = 3,314.59 × 566.34
4. Step 4: Simplify right side
   2,209.78x = 1,877,182.07
5. Step 5: Solve for x
   x = 1,877,182.07/2,209.78
6. Step 6: Final answer
   x = 849.49