Finding the Fourth Proportional to 2,365.25, 3,546.50 and 977.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.25 : 3,546.50 = 977.00 : x
2. Step 2: Convert to fraction form
   2,365.25/3,546.50 = 977.00/x
3. Step 3: Cross multiply
   2,365.25x = 3,546.50 × 977.00
4. Step 4: Simplify right side
   2,365.25x = 3,464,907.88
5. Step 5: Solve for x
   x = 3,464,907.88/2,365.25
6. Step 6: Final answer
   x = 1,464.93