Finding the Fourth Proportional to 2,013.84, 3,020.50 and 780.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013.84 : 3,020.50 = 780.42 : x
2. Step 2: Convert to fraction form
   2,013.84/3,020.50 = 780.42/x
3. Step 3: Cross multiply
   2,013.84x = 3,020.50 × 780.42
4. Step 4: Simplify right side
   2,013.84x = 2,357,258.61
5. Step 5: Solve for x
   x = 2,357,258.61/2,013.84
6. Step 6: Final answer
   x = 1,170.53