Finding the Fourth Proportional to 1,407.07, 1,941.82 and 777.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.07 : 1,941.82 = 777.67 : x
2. Step 2: Convert to fraction form
   1,407.07/1,941.82 = 777.67/x
3. Step 3: Cross multiply
   1,407.07x = 1,941.82 × 777.67
4. Step 4: Simplify right side
   1,407.07x = 1,510,095.16
5. Step 5: Solve for x
   x = 1,510,095.16/1,407.07
6. Step 6: Final answer
   x = 1,073.22