Finding the Fourth Proportional to 2,419.63, 3,630.02 and 776.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.63 : 3,630.02 = 776.05 : x
2. Step 2: Convert to fraction form
   2,419.63/3,630.02 = 776.05/x
3. Step 3: Cross multiply
   2,419.63x = 3,630.02 × 776.05
4. Step 4: Simplify right side
   2,419.63x = 2,817,077.02
5. Step 5: Solve for x
   x = 2,817,077.02/2,419.63
6. Step 6: Final answer
   x = 1,164.26