Finding the Fourth Proportional to 1,365.57, 1,884.47 and 776.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.57 : 1,884.47 = 776.12 : x
2. Step 2: Convert to fraction form
   1,365.57/1,884.47 = 776.12/x
3. Step 3: Cross multiply
   1,365.57x = 1,884.47 × 776.12
4. Step 4: Simplify right side
   1,365.57x = 1,462,561.55
5. Step 5: Solve for x
   x = 1,462,561.55/1,365.57
6. Step 6: Final answer
   x = 1,071.03