Finding the Fourth Proportional to 1,007.48, 1,511.69 and 391.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.48 : 1,511.69 = 391.01 : x
2. Step 2: Convert to fraction form
   1,007.48/1,511.69 = 391.01/x
3. Step 3: Cross multiply
   1,007.48x = 1,511.69 × 391.01
4. Step 4: Simplify right side
   1,007.48x = 591,076.39
5. Step 5: Solve for x
   x = 591,076.39/1,007.48
6. Step 6: Final answer
   x = 586.69