Finding the Fourth Proportional to 1,365.62, 1,884.56 and 776.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.62 : 1,884.56 = 776.18 : x
2. Step 2: Convert to fraction form
   1,365.62/1,884.56 = 776.18/x
3. Step 3: Cross multiply
   1,365.62x = 1,884.56 × 776.18
4. Step 4: Simplify right side
   1,365.62x = 1,462,758.61
5. Step 5: Solve for x
   x = 1,462,758.61/1,365.62
6. Step 6: Final answer
   x = 1,071.14