Finding the Fourth Proportional to 1,254.69, 1,730.52 and 782.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,254.69 : 1,730.52 = 782.37 : x
2. Step 2: Convert to fraction form
   1,254.69/1,730.52 = 782.37/x
3. Step 3: Cross multiply
   1,254.69x = 1,730.52 × 782.37
4. Step 4: Simplify right side
   1,254.69x = 1,353,906.93
5. Step 5: Solve for x
   x = 1,353,906.93/1,254.69
6. Step 6: Final answer
   x = 1,079.08