Finding the Fourth Proportional to 2,359.86, 3,538.77 and 1,189.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.86 : 3,538.77 = 1,189.14 : x
2. Step 2: Convert to fraction form
   2,359.86/3,538.77 = 1,189.14/x
3. Step 3: Cross multiply
   2,359.86x = 3,538.77 × 1,189.14
4. Step 4: Simplify right side
   2,359.86x = 4,208,092.96
5. Step 5: Solve for x
   x = 4,208,092.96/2,359.86
6. Step 6: Final answer
   x = 1,783.20