Finding the Fourth Proportional to 1,945.64, 2,685.40 and 1,282.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.64 : 2,685.40 = 1,282.55 : x
2. Step 2: Convert to fraction form
   1,945.64/2,685.40 = 1,282.55/x
3. Step 3: Cross multiply
   1,945.64x = 2,685.40 × 1,282.55
4. Step 4: Simplify right side
   1,945.64x = 3,444,156.56
5. Step 5: Solve for x
   x = 3,444,156.56/1,945.64
6. Step 6: Final answer
   x = 1,770.19