Finding the Fourth Proportional to 1,783.82, 2,462.68 and 1,586.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.82 : 2,462.68 = 1,586.76 : x
2. Step 2: Convert to fraction form
   1,783.82/2,462.68 = 1,586.76/x
3. Step 3: Cross multiply
   1,783.82x = 2,462.68 × 1,586.76
4. Step 4: Simplify right side
   1,783.82x = 3,907,682.12
5. Step 5: Solve for x
   x = 3,907,682.12/1,783.82
6. Step 6: Final answer
   x = 2,190.63