Finding the Fourth Proportional to 10,025.58, 13,836.76 and 5,775.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.58 : 13,836.76 = 5,775.81 : x
2. Step 2: Convert to fraction form
   10,025.58/13,836.76 = 5,775.81/x
3. Step 3: Cross multiply
   10,025.58x = 13,836.76 × 5,775.81
4. Step 4: Simplify right side
   10,025.58x = 79,918,496.78
5. Step 5: Solve for x
   x = 79,918,496.78/10,025.58
6. Step 6: Final answer
   x = 7,971.46