Finding the Fourth Proportional to 1,401.50, 2,102.49 and 580.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.50 : 2,102.49 = 580.38 : x
2. Step 2: Convert to fraction form
   1,401.50/2,102.49 = 580.38/x
3. Step 3: Cross multiply
   1,401.50x = 2,102.49 × 580.38
4. Step 4: Simplify right side
   1,401.50x = 1,220,243.15
5. Step 5: Solve for x
   x = 1,220,243.15/1,401.50
6. Step 6: Final answer
   x = 870.67