Finding the Fourth Proportional to 10,253.01, 14,150.46 and 5,777.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.01 : 14,150.46 = 5,777.87 : x
2. Step 2: Convert to fraction form
   10,253.01/14,150.46 = 5,777.87/x
3. Step 3: Cross multiply
   10,253.01x = 14,150.46 × 5,777.87
4. Step 4: Simplify right side
   10,253.01x = 81,759,469.23
5. Step 5: Solve for x
   x = 81,759,469.23/10,253.01
6. Step 6: Final answer
   x = 7,974.19