Finding the Fourth Proportional to 1,385.82, 2,077.51 and 564.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.82 : 2,077.51 = 564.78 : x
2. Step 2: Convert to fraction form
   1,385.82/2,077.51 = 564.78/x
3. Step 3: Cross multiply
   1,385.82x = 2,077.51 × 564.78
4. Step 4: Simplify right side
   1,385.82x = 1,173,334.69
5. Step 5: Solve for x
   x = 1,173,334.69/1,385.82
6. Step 6: Final answer
   x = 846.67