Finding the Fourth Proportional to 1,200.04, 1,654.82 and 780.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.04 : 1,654.82 = 780.60 : x
2. Step 2: Convert to fraction form
   1,200.04/1,654.82 = 780.60/x
3. Step 3: Cross multiply
   1,200.04x = 1,654.82 × 780.60
4. Step 4: Simplify right side
   1,200.04x = 1,291,752.49
5. Step 5: Solve for x
   x = 1,291,752.49/1,200.04
6. Step 6: Final answer
   x = 1,076.42