Finding the Fourth Proportional to 1,199.34, 1,654.56 and 779.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.34 : 1,654.56 = 779.63 : x
2. Step 2: Convert to fraction form
   1,199.34/1,654.56 = 779.63/x
3. Step 3: Cross multiply
   1,199.34x = 1,654.56 × 779.63
4. Step 4: Simplify right side
   1,199.34x = 1,289,936.34
5. Step 5: Solve for x
   x = 1,289,936.34/1,199.34
6. Step 6: Final answer
   x = 1,075.54