Finding the Fourth Proportional to 1,586.65, 2,380.52 and 1,433.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.65 : 2,380.52 = 1,433.29 : x
2. Step 2: Convert to fraction form
   1,586.65/2,380.52 = 1,433.29/x
3. Step 3: Cross multiply
   1,586.65x = 2,380.52 × 1,433.29
4. Step 4: Simplify right side
   1,586.65x = 3,411,968.34
5. Step 5: Solve for x
   x = 3,411,968.34/1,586.65
6. Step 6: Final answer
   x = 2,150.42