Finding the Fourth Proportional to 9,642.38, 13,308.93 and 5,453.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.38 : 13,308.93 = 5,453.06 : x
2. Step 2: Convert to fraction form
   9,642.38/13,308.93 = 5,453.06/x
3. Step 3: Cross multiply
   9,642.38x = 13,308.93 × 5,453.06
4. Step 4: Simplify right side
   9,642.38x = 72,574,327.28
5. Step 5: Solve for x
   x = 72,574,327.28/9,642.38
6. Step 6: Final answer
   x = 7,526.60