Finding the Fourth Proportional to 1,384.58, 2,076.89 and 410.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.58 : 2,076.89 = 410.70 : x
2. Step 2: Convert to fraction form
   1,384.58/2,076.89 = 410.70/x
3. Step 3: Cross multiply
   1,384.58x = 2,076.89 × 410.70
4. Step 4: Simplify right side
   1,384.58x = 852,976.67
5. Step 5: Solve for x
   x = 852,976.67/1,384.58
6. Step 6: Final answer
   x = 616.06