Finding the Fourth Proportional to 1,859.10, 2,563.45 and 1,186.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.10 : 2,563.45 = 1,186.00 : x
2. Step 2: Convert to fraction form
   1,859.10/2,563.45 = 1,186.00/x
3. Step 3: Cross multiply
   1,859.10x = 2,563.45 × 1,186.00
4. Step 4: Simplify right side
   1,859.10x = 3,040,266.50
5. Step 5: Solve for x
   x = 3,040,266.50/1,859.10
6. Step 6: Final answer
   x = 1,635.34