Finding the Fourth Proportional to 2,763.68, 3,814.72 and 1,585.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,763.68 : 3,814.72 = 1,585.52 : x
2. Step 2: Convert to fraction form
   2,763.68/3,814.72 = 1,585.52/x
3. Step 3: Cross multiply
   2,763.68x = 3,814.72 × 1,585.52
4. Step 4: Simplify right side
   2,763.68x = 6,048,314.85
5. Step 5: Solve for x
   x = 6,048,314.85/2,763.68
6. Step 6: Final answer
   x = 2,188.50