Finding the Fourth Proportional to 1,780.10, 2,665.59 and 1,233.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.10 : 2,665.59 = 1,233.35 : x
2. Step 2: Convert to fraction form
   1,780.10/2,665.59 = 1,233.35/x
3. Step 3: Cross multiply
   1,780.10x = 2,665.59 × 1,233.35
4. Step 4: Simplify right side
   1,780.10x = 3,287,592.10
5. Step 5: Solve for x
   x = 3,287,592.10/1,780.10
6. Step 6: Final answer
   x = 1,846.86