Finding the Fourth Proportional to 2,501.63, 3,752.49 and 770.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.63 : 3,752.49 = 770.25 : x
2. Step 2: Convert to fraction form
   2,501.63/3,752.49 = 770.25/x
3. Step 3: Cross multiply
   2,501.63x = 3,752.49 × 770.25
4. Step 4: Simplify right side
   2,501.63x = 2,890,355.42
5. Step 5: Solve for x
   x = 2,890,355.42/2,501.63
6. Step 6: Final answer
   x = 1,155.39