Finding the Fourth Proportional to 1,005.34, 1,385.49 and 783.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.34 : 1,385.49 = 783.94 : x
2. Step 2: Convert to fraction form
   1,005.34/1,385.49 = 783.94/x
3. Step 3: Cross multiply
   1,005.34x = 1,385.49 × 783.94
4. Step 4: Simplify right side
   1,005.34x = 1,086,141.03
5. Step 5: Solve for x
   x = 1,086,141.03/1,005.34
6. Step 6: Final answer
   x = 1,080.37