Finding the Fourth Proportional to 1,365.86, 1,884.66 and 776.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.86 : 1,884.66 = 776.18 : x
2. Step 2: Convert to fraction form
   1,365.86/1,884.66 = 776.18/x
3. Step 3: Cross multiply
   1,365.86x = 1,884.66 × 776.18
4. Step 4: Simplify right side
   1,365.86x = 1,462,835.40
5. Step 5: Solve for x
   x = 1,462,835.40/1,365.86
6. Step 6: Final answer
   x = 1,071.00