Finding the Fourth Proportional to 9,654.83, 13,322.57 and 5,405.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,654.83 : 13,322.57 = 5,405.30 : x
2. Step 2: Convert to fraction form
   9,654.83/13,322.57 = 5,405.30/x
3. Step 3: Cross multiply
   9,654.83x = 13,322.57 × 5,405.30
4. Step 4: Simplify right side
   9,654.83x = 72,012,468.92
5. Step 5: Solve for x
   x = 72,012,468.92/9,654.83
6. Step 6: Final answer
   x = 7,458.70