Finding the Fourth Proportional to 1,101.50, 1,651.39 and 580.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.50 : 1,651.39 = 580.82 : x
2. Step 2: Convert to fraction form
   1,101.50/1,651.39 = 580.82/x
3. Step 3: Cross multiply
   1,101.50x = 1,651.39 × 580.82
4. Step 4: Simplify right side
   1,101.50x = 959,160.34
5. Step 5: Solve for x
   x = 959,160.34/1,101.50
6. Step 6: Final answer
   x = 870.78