Finding the Fourth Proportional to 10,490.78, 14,477.28 and 5,774.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.78 : 14,477.28 = 5,774.96 : x
2. Step 2: Convert to fraction form
   10,490.78/14,477.28 = 5,774.96/x
3. Step 3: Cross multiply
   10,490.78x = 14,477.28 × 5,774.96
4. Step 4: Simplify right side
   10,490.78x = 83,605,712.91
5. Step 5: Solve for x
   x = 83,605,712.91/10,490.78
6. Step 6: Final answer
   x = 7,969.45