Finding the Fourth Proportional to 2,113.85, 3,166.69 and 1,186.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113.85 : 3,166.69 = 1,186.58 : x
2. Step 2: Convert to fraction form
   2,113.85/3,166.69 = 1,186.58/x
3. Step 3: Cross multiply
   2,113.85x = 3,166.69 × 1,186.58
4. Step 4: Simplify right side
   2,113.85x = 3,757,531.02
5. Step 5: Solve for x
   x = 3,757,531.02/2,113.85
6. Step 6: Final answer
   x = 1,777.58