Finding the Fourth Proportional to 2,205.10, 3,307.34 and 561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.10 : 3,307.34 = 561.50 : x
2. Step 2: Convert to fraction form
   2,205.10/3,307.34 = 561.50/x
3. Step 3: Cross multiply
   2,205.10x = 3,307.34 × 561.50
4. Step 4: Simplify right side
   2,205.10x = 1,857,071.41
5. Step 5: Solve for x
   x = 1,857,071.41/2,205.10
6. Step 6: Final answer
   x = 842.17