Finding the Fourth Proportional to 1,778.52, 2,666.82 and 946.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.52 : 2,666.82 = 946.02 : x
2. Step 2: Convert to fraction form
   1,778.52/2,666.82 = 946.02/x
3. Step 3: Cross multiply
   1,778.52x = 2,666.82 × 946.02
4. Step 4: Simplify right side
   1,778.52x = 2,522,865.06
5. Step 5: Solve for x
   x = 2,522,865.06/1,778.52
6. Step 6: Final answer
   x = 1,418.52