Finding the Fourth Proportional to 2,559.63, 3,838.23 and 1,172.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.63 : 3,838.23 = 1,172.55 : x
2. Step 2: Convert to fraction form
   2,559.63/3,838.23 = 1,172.55/x
3. Step 3: Cross multiply
   2,559.63x = 3,838.23 × 1,172.55
4. Step 4: Simplify right side
   2,559.63x = 4,500,516.59
5. Step 5: Solve for x
   x = 4,500,516.59/2,559.63
6. Step 6: Final answer
   x = 1,758.27