Finding the Fourth Proportional to 1,003.84, 1,384.32 and 782.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.84 : 1,384.32 = 782.71 : x
2. Step 2: Convert to fraction form
   1,003.84/1,384.32 = 782.71/x
3. Step 3: Cross multiply
   1,003.84x = 1,384.32 × 782.71
4. Step 4: Simplify right side
   1,003.84x = 1,083,520.58
5. Step 5: Solve for x
   x = 1,083,520.58/1,003.84
6. Step 6: Final answer
   x = 1,079.38