Finding the Fourth Proportional to 2,357.61, 3,534.32 and 1,186.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.61 : 3,534.32 = 1,186.08 : x
2. Step 2: Convert to fraction form
   2,357.61/3,534.32 = 1,186.08/x
3. Step 3: Cross multiply
   2,357.61x = 3,534.32 × 1,186.08
4. Step 4: Simplify right side
   2,357.61x = 4,191,969.31
5. Step 5: Solve for x
   x = 4,191,969.31/2,357.61
6. Step 6: Final answer
   x = 1,778.06