Finding the Fourth Proportional to 1,901.48, 2,624.31 and 1,586.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.48 : 2,624.31 = 1,586.30 : x
2. Step 2: Convert to fraction form
   1,901.48/2,624.31 = 1,586.30/x
3. Step 3: Cross multiply
   1,901.48x = 2,624.31 × 1,586.30
4. Step 4: Simplify right side
   1,901.48x = 4,162,929.83
5. Step 5: Solve for x
   x = 4,162,929.83/1,901.48
6. Step 6: Final answer
   x = 2,189.32