Finding the Fourth Proportional to 3,763.50, 5,641.50 and 1,296.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,763.50 : 5,641.50 = 1,296.64 : x
2. Step 2: Convert to fraction form
   3,763.50/5,641.50 = 1,296.64/x
3. Step 3: Cross multiply
   3,763.50x = 5,641.50 × 1,296.64
4. Step 4: Simplify right side
   3,763.50x = 7,314,994.56
5. Step 5: Solve for x
   x = 7,314,994.56/3,763.50
6. Step 6: Final answer
   x = 1,943.67