Finding the Fourth Proportional to 9,677.25, 13,354.74 and 5,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.25 : 13,354.74 = 5,429.25 : x
2. Step 2: Convert to fraction form
   9,677.25/13,354.74 = 5,429.25/x
3. Step 3: Cross multiply
   9,677.25x = 13,354.74 × 5,429.25
4. Step 4: Simplify right side
   9,677.25x = 72,506,222.15
5. Step 5: Solve for x
   x = 72,506,222.15/9,677.25
6. Step 6: Final answer
   x = 7,492.44