Finding the Fourth Proportional to 10,490.36, 14,477.34 and 5,775.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.36 : 14,477.34 = 5,775.68 : x
2. Step 2: Convert to fraction form
   10,490.36/14,477.34 = 5,775.68/x
3. Step 3: Cross multiply
   10,490.36x = 14,477.34 × 5,775.68
4. Step 4: Simplify right side
   10,490.36x = 83,616,483.09
5. Step 5: Solve for x
   x = 83,616,483.09/10,490.36
6. Step 6: Final answer
   x = 7,970.79