Finding the Fourth Proportional to 1,402.76, 2,104.50 and 580.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.76 : 2,104.50 = 580.82 : x
2. Step 2: Convert to fraction form
   1,402.76/2,104.50 = 580.82/x
3. Step 3: Cross multiply
   1,402.76x = 2,104.50 × 580.82
4. Step 4: Simplify right side
   1,402.76x = 1,222,335.69
5. Step 5: Solve for x
   x = 1,222,335.69/1,402.76
6. Step 6: Final answer
   x = 871.38