Finding the Fourth Proportional to 2,010.02, 3,013.86 and 777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,010.02 : 3,013.86 = 777.25 : x
2. Step 2: Convert to fraction form
   2,010.02/3,013.86 = 777.25/x
3. Step 3: Cross multiply
   2,010.02x = 3,013.86 × 777.25
4. Step 4: Simplify right side
   2,010.02x = 2,342,508.04
5. Step 5: Solve for x
   x = 2,342,508.04/2,010.02
6. Step 6: Final answer
   x = 1,165.42