Finding the Fourth Proportional to 1,805.50, 2,491.59 and 977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.50 : 2,491.59 = 977.50 : x
2. Step 2: Convert to fraction form
   1,805.50/2,491.59 = 977.50/x
3. Step 3: Cross multiply
   1,805.50x = 2,491.59 × 977.50
4. Step 4: Simplify right side
   1,805.50x = 2,435,529.23
5. Step 5: Solve for x
   x = 2,435,529.23/1,805.50
6. Step 6: Final answer
   x = 1,348.95