Finding the Fourth Proportional to 1,384.52, 2,077.10 and 799.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.52 : 2,077.10 = 799.80 : x
2. Step 2: Convert to fraction form
   1,384.52/2,077.10 = 799.80/x
3. Step 3: Cross multiply
   1,384.52x = 2,077.10 × 799.80
4. Step 4: Simplify right side
   1,384.52x = 1,661,264.58
5. Step 5: Solve for x
   x = 1,661,264.58/1,384.52
6. Step 6: Final answer
   x = 1,199.88