Finding the Fourth Proportional to 2,423.95, 3,635.71 and 780.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,423.95 : 3,635.71 = 780.05 : x
2. Step 2: Convert to fraction form
   2,423.95/3,635.71 = 780.05/x
3. Step 3: Cross multiply
   2,423.95x = 3,635.71 × 780.05
4. Step 4: Simplify right side
   2,423.95x = 2,836,035.59
5. Step 5: Solve for x
   x = 2,836,035.59/2,423.95
6. Step 6: Final answer
   x = 1,170.01