Finding the Fourth Proportional to 2,566.82, 3,850.34 and 1,160.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.82 : 3,850.34 = 1,160.98 : x
2. Step 2: Convert to fraction form
   2,566.82/3,850.34 = 1,160.98/x
3. Step 3: Cross multiply
   2,566.82x = 3,850.34 × 1,160.98
4. Step 4: Simplify right side
   2,566.82x = 4,470,152.30
5. Step 5: Solve for x
   x = 4,470,152.30/2,566.82
6. Step 6: Final answer
   x = 1,741.51