Finding the Fourth Proportional to 9,258.72, 12,777.04 and 5,009.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,258.72 : 12,777.04 = 5,009.77 : x
2. Step 2: Convert to fraction form
   9,258.72/12,777.04 = 5,009.77/x
3. Step 3: Cross multiply
   9,258.72x = 12,777.04 × 5,009.77
4. Step 4: Simplify right side
   9,258.72x = 64,009,987.21
5. Step 5: Solve for x
   x = 64,009,987.21/9,258.72
6. Step 6: Final answer
   x = 6,913.48