Finding the Fourth Proportional to 10,490.71, 14,477.07 and 5,774.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.71 : 14,477.07 = 5,774.89 : x
2. Step 2: Convert to fraction form
   10,490.71/14,477.07 = 5,774.89/x
3. Step 3: Cross multiply
   10,490.71x = 14,477.07 × 5,774.89
4. Step 4: Simplify right side
   10,490.71x = 83,603,486.77
5. Step 5: Solve for x
   x = 83,603,486.77/10,490.71
6. Step 6: Final answer
   x = 7,969.29