Finding the Fourth Proportional to 10,454.60, 14,426.91 and 5,738.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.60 : 14,426.91 = 5,738.99 : x
2. Step 2: Convert to fraction form
   10,454.60/14,426.91 = 5,738.99/x
3. Step 3: Cross multiply
   10,454.60x = 14,426.91 × 5,738.99
4. Step 4: Simplify right side
   10,454.60x = 82,795,892.22
5. Step 5: Solve for x
   x = 82,795,892.22/10,454.60
6. Step 6: Final answer
   x = 7,919.57