Finding the Fourth Proportional to 1,854.42, 2,780.82 and 1,020.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.42 : 2,780.82 = 1,020.94 : x
2. Step 2: Convert to fraction form
   1,854.42/2,780.82 = 1,020.94/x
3. Step 3: Cross multiply
   1,854.42x = 2,780.82 × 1,020.94
4. Step 4: Simplify right side
   1,854.42x = 2,839,050.37
5. Step 5: Solve for x
   x = 2,839,050.37/1,854.42
6. Step 6: Final answer
   x = 1,530.96