Finding the Fourth Proportional to 1,304.98, 1,947.35 and 1,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,304.98 : 1,947.35 = 1,166.50 : x
2. Step 2: Convert to fraction form
   1,304.98/1,947.35 = 1,166.50/x
3. Step 3: Cross multiply
   1,304.98x = 1,947.35 × 1,166.50
4. Step 4: Simplify right side
   1,304.98x = 2,271,583.78
5. Step 5: Solve for x
   x = 2,271,583.78/1,304.98
6. Step 6: Final answer
   x = 1,740.70