Finding the Fourth Proportional to 1,602.52, 2,402.42 and 678.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.52 : 2,402.42 = 678.80 : x
2. Step 2: Convert to fraction form
   1,602.52/2,402.42 = 678.80/x
3. Step 3: Cross multiply
   1,602.52x = 2,402.42 × 678.80
4. Step 4: Simplify right side
   1,602.52x = 1,630,762.70
5. Step 5: Solve for x
   x = 1,630,762.70/1,602.52
6. Step 6: Final answer
   x = 1,017.62