Finding the Fourth Proportional to 10,554.78, 14,565.32 and 5,774.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,554.78 : 14,565.32 = 5,774.75 : x
2. Step 2: Convert to fraction form
   10,554.78/14,565.32 = 5,774.75/x
3. Step 3: Cross multiply
   10,554.78x = 14,565.32 × 5,774.75
4. Step 4: Simplify right side
   10,554.78x = 84,111,008.84
5. Step 5: Solve for x
   x = 84,111,008.84/10,554.78
6. Step 6: Final answer
   x = 7,969.00