Finding the Fourth Proportional to 1,509.78, 2,084.58 and 1,013.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.78 : 2,084.58 = 1,013.52 : x
2. Step 2: Convert to fraction form
   1,509.78/2,084.58 = 1,013.52/x
3. Step 3: Cross multiply
   1,509.78x = 2,084.58 × 1,013.52
4. Step 4: Simplify right side
   1,509.78x = 2,112,763.52
5. Step 5: Solve for x
   x = 2,112,763.52/1,509.78
6. Step 6: Final answer
   x = 1,399.39