Finding the Fourth Proportional to 9,454.02, 13,046.58 and 5,205

Step by Step Solution

1. Step 1: Write the proportion equation
   9,454.02 : 13,046.58 = 5,205 : x
2. Step 2: Convert to fraction form
   9,454.02/13,046.58 = 5,205/x
3. Step 3: Cross multiply
   9,454.02x = 13,046.58 × 5,205
4. Step 4: Simplify right side
   9,454.02x = 67,907,448.90
5. Step 5: Solve for x
   x = 67,907,448.90/9,454.02
6. Step 6: Final answer
   x = 7,182.92