Finding the Fourth Proportional to 2,309.72, 3,466.64 and 1,077.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.72 : 3,466.64 = 1,077.83 : x
2. Step 2: Convert to fraction form
   2,309.72/3,466.64 = 1,077.83/x
3. Step 3: Cross multiply
   2,309.72x = 3,466.64 × 1,077.83
4. Step 4: Simplify right side
   2,309.72x = 3,736,459.95
5. Step 5: Solve for x
   x = 3,736,459.95/2,309.72
6. Step 6: Final answer
   x = 1,617.71