Finding the Fourth Proportional to 1,601.51, 2,402.33 and 780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.51 : 2,402.33 = 780.50 : x
2. Step 2: Convert to fraction form
   1,601.51/2,402.33 = 780.50/x
3. Step 3: Cross multiply
   1,601.51x = 2,402.33 × 780.50
4. Step 4: Simplify right side
   1,601.51x = 1,875,020.67
5. Step 5: Solve for x
   x = 1,875,020.67/1,601.51
6. Step 6: Final answer
   x = 1,170.79