Finding the Fourth Proportional to 10,554.32, 14,564.84 and 5,774.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,554.32 : 14,564.84 = 5,774.16 : x
2. Step 2: Convert to fraction form
   10,554.32/14,564.84 = 5,774.16/x
3. Step 3: Cross multiply
   10,554.32x = 14,564.84 × 5,774.16
4. Step 4: Simplify right side
   10,554.32x = 84,099,716.53
5. Step 5: Solve for x
   x = 84,099,716.53/10,554.32
6. Step 6: Final answer
   x = 7,968.27