Finding the Fourth Proportional to 1,071.86, 1,605.90 and 493.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.86 : 1,605.90 = 493.52 : x
2. Step 2: Convert to fraction form
   1,071.86/1,605.90 = 493.52/x
3. Step 3: Cross multiply
   1,071.86x = 1,605.90 × 493.52
4. Step 4: Simplify right side
   1,071.86x = 792,543.77
5. Step 5: Solve for x
   x = 792,543.77/1,071.86
6. Step 6: Final answer
   x = 739.41