Finding the Fourth Proportional to 2,825.89, 4,238.16 and 977.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,825.89 : 4,238.16 = 977.07 : x
2. Step 2: Convert to fraction form
   2,825.89/4,238.16 = 977.07/x
3. Step 3: Cross multiply
   2,825.89x = 4,238.16 × 977.07
4. Step 4: Simplify right side
   2,825.89x = 4,140,978.99
5. Step 5: Solve for x
   x = 4,140,978.99/2,825.89
6. Step 6: Final answer
   x = 1,465.37