Finding the Fourth Proportional to 9,436.16, 13,022.08 and 5,457.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,436.16 : 13,022.08 = 5,457.60 : x
2. Step 2: Convert to fraction form
   9,436.16/13,022.08 = 5,457.60/x
3. Step 3: Cross multiply
   9,436.16x = 13,022.08 × 5,457.60
4. Step 4: Simplify right side
   9,436.16x = 71,069,303.81
5. Step 5: Solve for x
   x = 71,069,303.81/9,436.16
6. Step 6: Final answer
   x = 7,531.59