Finding the Fourth Proportional to 2,564.06, 3,844.89 and 920.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.06 : 3,844.89 = 920.16 : x
2. Step 2: Convert to fraction form
   2,564.06/3,844.89 = 920.16/x
3. Step 3: Cross multiply
   2,564.06x = 3,844.89 × 920.16
4. Step 4: Simplify right side
   2,564.06x = 3,537,913.98
5. Step 5: Solve for x
   x = 3,537,913.98/2,564.06
6. Step 6: Final answer
   x = 1,379.81