Finding the Fourth Proportional to 1,406.52, 1,941.12 and 777.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.52 : 1,941.12 = 777.10 : x
2. Step 2: Convert to fraction form
   1,406.52/1,941.12 = 777.10/x
3. Step 3: Cross multiply
   1,406.52x = 1,941.12 × 777.10
4. Step 4: Simplify right side
   1,406.52x = 1,508,444.35
5. Step 5: Solve for x
   x = 1,508,444.35/1,406.52
6. Step 6: Final answer
   x = 1,072.47