Finding the Fourth Proportional to 1,602.34, 2,403.89 and 780.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.34 : 2,403.89 = 780.42 : x
2. Step 2: Convert to fraction form
   1,602.34/2,403.89 = 780.42/x
3. Step 3: Cross multiply
   1,602.34x = 2,403.89 × 780.42
4. Step 4: Simplify right side
   1,602.34x = 1,876,043.83
5. Step 5: Solve for x
   x = 1,876,043.83/1,602.34
6. Step 6: Final answer
   x = 1,170.82