Finding the Fourth Proportional to 10,025.76, 13,836.59 and 5,776.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.76 : 13,836.59 = 5,776.99 : x
2. Step 2: Convert to fraction form
   10,025.76/13,836.59 = 5,776.99/x
3. Step 3: Cross multiply
   10,025.76x = 13,836.59 × 5,776.99
4. Step 4: Simplify right side
   10,025.76x = 79,933,842.06
5. Step 5: Solve for x
   x = 79,933,842.06/10,025.76
6. Step 6: Final answer
   x = 7,972.85