Finding the Fourth Proportional to 1,150.31, 1,724.27 and 533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.31 : 1,724.27 = 533.50 : x
2. Step 2: Convert to fraction form
   1,150.31/1,724.27 = 533.50/x
3. Step 3: Cross multiply
   1,150.31x = 1,724.27 × 533.50
4. Step 4: Simplify right side
   1,150.31x = 919,900.77
5. Step 5: Solve for x
   x = 919,900.77/1,150.31
6. Step 6: Final answer
   x = 799.70