Finding the Fourth Proportional to 2,501.19, 3,751.86 and 769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.19 : 3,751.86 = 769.82 : x
2. Step 2: Convert to fraction form
   2,501.19/3,751.86 = 769.82/x
3. Step 3: Cross multiply
   2,501.19x = 3,751.86 × 769.82
4. Step 4: Simplify right side
   2,501.19x = 2,888,256.87
5. Step 5: Solve for x
   x = 2,888,256.87/2,501.19
6. Step 6: Final answer
   x = 1,154.75