Finding the Fourth Proportional to 1,365.90, 1,884.93 and 776.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.90 : 1,884.93 = 776.43 : x
2. Step 2: Convert to fraction form
   1,365.90/1,884.93 = 776.43/x
3. Step 3: Cross multiply
   1,365.90x = 1,884.93 × 776.43
4. Step 4: Simplify right side
   1,365.90x = 1,463,521.47
5. Step 5: Solve for x
   x = 1,463,521.47/1,365.90
6. Step 6: Final answer
   x = 1,071.47