Finding the Fourth Proportional to 1,336.91, 2,003.01 and 780.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,336.91 : 2,003.01 = 780.84 : x
2. Step 2: Convert to fraction form
   1,336.91/2,003.01 = 780.84/x
3. Step 3: Cross multiply
   1,336.91x = 2,003.01 × 780.84
4. Step 4: Simplify right side
   1,336.91x = 1,564,030.33
5. Step 5: Solve for x
   x = 1,564,030.33/1,336.91
6. Step 6: Final answer
   x = 1,169.89