Finding the Fourth Proportional to 1,150.61, 1,586.99 and 776.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.61 : 1,586.99 = 776.99 : x
2. Step 2: Convert to fraction form
   1,150.61/1,586.99 = 776.99/x
3. Step 3: Cross multiply
   1,150.61x = 1,586.99 × 776.99
4. Step 4: Simplify right side
   1,150.61x = 1,233,081.27
5. Step 5: Solve for x
   x = 1,233,081.27/1,150.61
6. Step 6: Final answer
   x = 1,071.68