Finding the Fourth Proportional to 1,150.98, 1,724.16 and 533.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.98 : 1,724.16 = 533.84 : x
2. Step 2: Convert to fraction form
   1,150.98/1,724.16 = 533.84/x
3. Step 3: Cross multiply
   1,150.98x = 1,724.16 × 533.84
4. Step 4: Simplify right side
   1,150.98x = 920,425.57
5. Step 5: Solve for x
   x = 920,425.57/1,150.98
6. Step 6: Final answer
   x = 799.69