Finding the Fourth Proportional to 2,089.24, 3,133.50 and 978.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.24 : 3,133.50 = 978.77 : x
2. Step 2: Convert to fraction form
   2,089.24/3,133.50 = 978.77/x
3. Step 3: Cross multiply
   2,089.24x = 3,133.50 × 978.77
4. Step 4: Simplify right side
   2,089.24x = 3,066,973.35
5. Step 5: Solve for x
   x = 3,066,973.35/2,089.24
6. Step 6: Final answer
   x = 1,467.99