Finding the Fourth Proportional to 1,042.52, 1,564.07 and 493.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.52 : 1,564.07 = 493.94 : x
2. Step 2: Convert to fraction form
   1,042.52/1,564.07 = 493.94/x
3. Step 3: Cross multiply
   1,042.52x = 1,564.07 × 493.94
4. Step 4: Simplify right side
   1,042.52x = 772,561.88
5. Step 5: Solve for x
   x = 772,561.88/1,042.52
6. Step 6: Final answer
   x = 741.06