Finding the Fourth Proportional to 2,357.16, 3,534.00 and 1,186.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.16 : 3,534.00 = 1,186.31 : x
2. Step 2: Convert to fraction form
   2,357.16/3,534.00 = 1,186.31/x
3. Step 3: Cross multiply
   2,357.16x = 3,534.00 × 1,186.31
4. Step 4: Simplify right side
   2,357.16x = 4,192,404.05
5. Step 5: Solve for x
   x = 4,192,404.05/2,357.16
6. Step 6: Final answer
   x = 1,778.58