Finding the Fourth Proportional to 1,602.66, 2,402.33 and 678.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.66 : 2,402.33 = 678.78 : x
2. Step 2: Convert to fraction form
   1,602.66/2,402.33 = 678.78/x
3. Step 3: Cross multiply
   1,602.66x = 2,402.33 × 678.78
4. Step 4: Simplify right side
   1,602.66x = 1,630,661.72
5. Step 5: Solve for x
   x = 1,630,661.72/1,602.66
6. Step 6: Final answer
   x = 1,017.47