Finding the Fourth Proportional to 2,141.53, 3,210.92 and 1,586.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.53 : 3,210.92 = 1,586.58 : x
2. Step 2: Convert to fraction form
   2,141.53/3,210.92 = 1,586.58/x
3. Step 3: Cross multiply
   2,141.53x = 3,210.92 × 1,586.58
4. Step 4: Simplify right side
   2,141.53x = 5,094,381.45
5. Step 5: Solve for x
   x = 5,094,381.45/2,141.53
6. Step 6: Final answer
   x = 2,378.85