Finding the Fourth Proportional to 1,535.86, 2,305.16 and 714.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.86 : 2,305.16 = 714.52 : x
2. Step 2: Convert to fraction form
   1,535.86/2,305.16 = 714.52/x
3. Step 3: Cross multiply
   1,535.86x = 2,305.16 × 714.52
4. Step 4: Simplify right side
   1,535.86x = 1,647,084.91
5. Step 5: Solve for x
   x = 1,647,084.91/1,535.86
6. Step 6: Final answer
   x = 1,072.42