Finding the Fourth Proportional to 1,796.69, 2,695.50 and 564.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,796.69 : 2,695.50 = 564.14 : x
2. Step 2: Convert to fraction form
   1,796.69/2,695.50 = 564.14/x
3. Step 3: Cross multiply
   1,796.69x = 2,695.50 × 564.14
4. Step 4: Simplify right side
   1,796.69x = 1,520,625.89
5. Step 5: Solve for x
   x = 1,520,625.89/1,796.69
6. Step 6: Final answer
   x = 846.35