Finding the Fourth Proportional to 1,533.98, 2,300.49 and 493.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.98 : 2,300.49 = 493.94 : x
2. Step 2: Convert to fraction form
   1,533.98/2,300.49 = 493.94/x
3. Step 3: Cross multiply
   1,533.98x = 2,300.49 × 493.94
4. Step 4: Simplify right side
   1,533.98x = 1,136,309.78
5. Step 5: Solve for x
   x = 1,136,309.78/1,533.98
6. Step 6: Final answer
   x = 740.76