Finding the Fourth Proportional to 9,256.80, 12,774.32 and 5,007.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.80 : 12,774.32 = 5,007.84 : x
2. Step 2: Convert to fraction form
   9,256.80/12,774.32 = 5,007.84/x
3. Step 3: Cross multiply
   9,256.80x = 12,774.32 × 5,007.84
4. Step 4: Simplify right side
   9,256.80x = 63,971,808.51
5. Step 5: Solve for x
   x = 63,971,808.51/9,256.80
6. Step 6: Final answer
   x = 6,910.79