Finding the Fourth Proportional to 2,595.46, 3,892.64 and 840.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.46 : 3,892.64 = 840.64 : x
2. Step 2: Convert to fraction form
   2,595.46/3,892.64 = 840.64/x
3. Step 3: Cross multiply
   2,595.46x = 3,892.64 × 840.64
4. Step 4: Simplify right side
   2,595.46x = 3,272,308.89
5. Step 5: Solve for x
   x = 3,272,308.89/2,595.46
6. Step 6: Final answer
   x = 1,260.78