Finding the Fourth Proportional to 3,765.56, 5,647.86 and 992.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.56 : 5,647.86 = 992.25 : x
2. Step 2: Convert to fraction form
   3,765.56/5,647.86 = 992.25/x
3. Step 3: Cross multiply
   3,765.56x = 5,647.86 × 992.25
4. Step 4: Simplify right side
   3,765.56x = 5,604,089.09
5. Step 5: Solve for x
   x = 5,604,089.09/3,765.56
6. Step 6: Final answer
   x = 1,488.25