Finding the Fourth Proportional to 1,384.66, 2,076.69 and 410.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.66 : 2,076.69 = 410.43 : x
2. Step 2: Convert to fraction form
   1,384.66/2,076.69 = 410.43/x
3. Step 3: Cross multiply
   1,384.66x = 2,076.69 × 410.43
4. Step 4: Simplify right side
   1,384.66x = 852,342.89
5. Step 5: Solve for x
   x = 852,342.89/1,384.66
6. Step 6: Final answer
   x = 615.56