Finding the Fourth Proportional to 1,176.69, 1,624.35 and 779.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.69 : 1,624.35 = 779.40 : x
2. Step 2: Convert to fraction form
   1,176.69/1,624.35 = 779.40/x
3. Step 3: Cross multiply
   1,176.69x = 1,624.35 × 779.40
4. Step 4: Simplify right side
   1,176.69x = 1,266,018.39
5. Step 5: Solve for x
   x = 1,266,018.39/1,176.69
6. Step 6: Final answer
   x = 1,075.91