Finding the Fourth Proportional to 1,586.31, 2,380.32 and 753.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.31 : 2,380.32 = 753.18 : x
2. Step 2: Convert to fraction form
   1,586.31/2,380.32 = 753.18/x
3. Step 3: Cross multiply
   1,586.31x = 2,380.32 × 753.18
4. Step 4: Simplify right side
   1,586.31x = 1,792,809.42
5. Step 5: Solve for x
   x = 1,792,809.42/1,586.31
6. Step 6: Final answer
   x = 1,130.18