Finding the Fourth Proportional to 1,406.98, 2,111.10 and 757.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.98 : 2,111.10 = 757.81 : x
2. Step 2: Convert to fraction form
   1,406.98/2,111.10 = 757.81/x
3. Step 3: Cross multiply
   1,406.98x = 2,111.10 × 757.81
4. Step 4: Simplify right side
   1,406.98x = 1,599,812.69
5. Step 5: Solve for x
   x = 1,599,812.69/1,406.98
6. Step 6: Final answer
   x = 1,137.05