Finding the Fourth Proportional to 2,178.24, 3,004.56 and 1,586.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.24 : 3,004.56 = 1,586.88 : x
2. Step 2: Convert to fraction form
   2,178.24/3,004.56 = 1,586.88/x
3. Step 3: Cross multiply
   2,178.24x = 3,004.56 × 1,586.88
4. Step 4: Simplify right side
   2,178.24x = 4,767,876.17
5. Step 5: Solve for x
   x = 4,767,876.17/2,178.24
6. Step 6: Final answer
   x = 2,188.87