Finding the Fourth Proportional to 1,533.84, 2,300.49 and 712.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.84 : 2,300.49 = 712.05 : x
2. Step 2: Convert to fraction form
   1,533.84/2,300.49 = 712.05/x
3. Step 3: Cross multiply
   1,533.84x = 2,300.49 × 712.05
4. Step 4: Simplify right side
   1,533.84x = 1,638,063.90
5. Step 5: Solve for x
   x = 1,638,063.90/1,533.84
6. Step 6: Final answer
   x = 1,067.95