Finding the Fourth Proportional to 1,298.53, 1,946.71 and 567.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 1,946.71 = 567.55 : x
2. Step 2: Convert to fraction form
   1,298.53/1,946.71 = 567.55/x
3. Step 3: Cross multiply
   1,298.53x = 1,946.71 × 567.55
4. Step 4: Simplify right side
   1,298.53x = 1,104,855.26
5. Step 5: Solve for x
   x = 1,104,855.26/1,298.53
6. Step 6: Final answer
   x = 850.85