Finding the Fourth Proportional to 1,533.50, 2,300.61 and 493.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.50 : 2,300.61 = 493.60 : x
2. Step 2: Convert to fraction form
   1,533.50/2,300.61 = 493.60/x
3. Step 3: Cross multiply
   1,533.50x = 2,300.61 × 493.60
4. Step 4: Simplify right side
   1,533.50x = 1,135,570.42
5. Step 5: Solve for x
   x = 1,135,570.42/1,533.50
6. Step 6: Final answer
   x = 740.51