Finding the Fourth Proportional to 1,859.89, 2,564.43 and 1,196.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.89 : 2,564.43 = 1,196.77 : x
2. Step 2: Convert to fraction form
   1,859.89/2,564.43 = 1,196.77/x
3. Step 3: Cross multiply
   1,859.89x = 2,564.43 × 1,196.77
4. Step 4: Simplify right side
   1,859.89x = 3,069,032.89
5. Step 5: Solve for x
   x = 3,069,032.89/1,859.89
6. Step 6: Final answer
   x = 1,650.12