Finding the Fourth Proportional to 9,046.32, 13,503.94 and 7,821.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,046.32 : 13,503.94 = 7,821.60 : x
2. Step 2: Convert to fraction form
   9,046.32/13,503.94 = 7,821.60/x
3. Step 3: Cross multiply
   9,046.32x = 13,503.94 × 7,821.60
4. Step 4: Simplify right side
   9,046.32x = 105,622,417.10
5. Step 5: Solve for x
   x = 105,622,417.10/9,046.32
6. Step 6: Final answer
   x = 11,675.73