Finding the Fourth Proportional to 1,786.50, 2,677.89 and 747.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.50 : 2,677.89 = 747.10 : x
2. Step 2: Convert to fraction form
   1,786.50/2,677.89 = 747.10/x
3. Step 3: Cross multiply
   1,786.50x = 2,677.89 × 747.10
4. Step 4: Simplify right side
   1,786.50x = 2,000,651.62
5. Step 5: Solve for x
   x = 2,000,651.62/1,786.50
6. Step 6: Final answer
   x = 1,119.87