Finding the Fourth Proportional to 2,507.63, 3,762.05 and 776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.63 : 3,762.05 = 776.25 : x
2. Step 2: Convert to fraction form
   2,507.63/3,762.05 = 776.25/x
3. Step 3: Cross multiply
   2,507.63x = 3,762.05 × 776.25
4. Step 4: Simplify right side
   2,507.63x = 2,920,287.43
5. Step 5: Solve for x
   x = 2,920,287.43/2,507.63
6. Step 6: Final answer
   x = 1,164.56