Finding the Fourth Proportional to 3,574.16, 5,360.42 and 977.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,574.16 : 5,360.42 = 977.30 : x
2. Step 2: Convert to fraction form
   3,574.16/5,360.42 = 977.30/x
3. Step 3: Cross multiply
   3,574.16x = 5,360.42 × 977.30
4. Step 4: Simplify right side
   3,574.16x = 5,238,738.47
5. Step 5: Solve for x
   x = 5,238,738.47/3,574.16
6. Step 6: Final answer
   x = 1,465.73