Finding the Fourth Proportional to 2,507.74, 3,761.98 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.74 : 3,761.98 = 776.50 : x
2. Step 2: Convert to fraction form
   2,507.74/3,761.98 = 776.50/x
3. Step 3: Cross multiply
   2,507.74x = 3,761.98 × 776.50
4. Step 4: Simplify right side
   2,507.74x = 2,921,177.47
5. Step 5: Solve for x
   x = 2,921,177.47/2,507.74
6. Step 6: Final answer
   x = 1,164.86