Finding the Fourth Proportional to 1,601.42, 2,402.34 and 779.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.42 : 2,402.34 = 779.59 : x
2. Step 2: Convert to fraction form
   1,601.42/2,402.34 = 779.59/x
3. Step 3: Cross multiply
   1,601.42x = 2,402.34 × 779.59
4. Step 4: Simplify right side
   1,601.42x = 1,872,828.23
5. Step 5: Solve for x
   x = 1,872,828.23/1,601.42
6. Step 6: Final answer
   x = 1,169.48