Finding the Fourth Proportional to 1,852.10, 2,556.24 and 1,189.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.10 : 2,556.24 = 1,189.78 : x
2. Step 2: Convert to fraction form
   1,852.10/2,556.24 = 1,189.78/x
3. Step 3: Cross multiply
   1,852.10x = 2,556.24 × 1,189.78
4. Step 4: Simplify right side
   1,852.10x = 3,041,363.23
5. Step 5: Solve for x
   x = 3,041,363.23/1,852.10
6. Step 6: Final answer
   x = 1,642.12