Finding the Fourth Proportional to 1,406.76, 2,105.57 and 747.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.76 : 2,105.57 = 747.71 : x
2. Step 2: Convert to fraction form
   1,406.76/2,105.57 = 747.71/x
3. Step 3: Cross multiply
   1,406.76x = 2,105.57 × 747.71
4. Step 4: Simplify right side
   1,406.76x = 1,574,341.48
5. Step 5: Solve for x
   x = 1,574,341.48/1,406.76
6. Step 6: Final answer
   x = 1,119.13