Finding the Fourth Proportional to 1,407.09, 1,941.69 and 777.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.09 : 1,941.69 = 777.62 : x
2. Step 2: Convert to fraction form
   1,407.09/1,941.69 = 777.62/x
3. Step 3: Cross multiply
   1,407.09x = 1,941.69 × 777.62
4. Step 4: Simplify right side
   1,407.09x = 1,509,901.83
5. Step 5: Solve for x
   x = 1,509,901.83/1,407.09
6. Step 6: Final answer
   x = 1,073.07