Finding the Fourth Proportional to 10,490.16, 14,476.14 and 5,774.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.16 : 14,476.14 = 5,774.34 : x
2. Step 2: Convert to fraction form
   10,490.16/14,476.14 = 5,774.34/x
3. Step 3: Cross multiply
   10,490.16x = 14,476.14 × 5,774.34
4. Step 4: Simplify right side
   10,490.16x = 83,590,154.25
5. Step 5: Solve for x
   x = 83,590,154.25/10,490.16
6. Step 6: Final answer
   x = 7,968.43