Finding the Fourth Proportional to 1,365.46, 1,884.16 and 775.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.46 : 1,884.16 = 775.78 : x
2. Step 2: Convert to fraction form
   1,365.46/1,884.16 = 775.78/x
3. Step 3: Cross multiply
   1,365.46x = 1,884.16 × 775.78
4. Step 4: Simplify right side
   1,365.46x = 1,461,689.90
5. Step 5: Solve for x
   x = 1,461,689.90/1,365.46
6. Step 6: Final answer
   x = 1,070.48