Finding the Fourth Proportional to 7,777.31, 10,729.27 and 5,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,777.31 : 10,729.27 = 5,258.50 : x
2. Step 2: Convert to fraction form
   7,777.31/10,729.27 = 5,258.50/x
3. Step 3: Cross multiply
   7,777.31x = 10,729.27 × 5,258.50
4. Step 4: Simplify right side
   7,777.31x = 56,419,876.82
5. Step 5: Solve for x
   x = 56,419,876.82/7,777.31
6. Step 6: Final answer
   x = 7,254.43