Finding the Fourth Proportional to 9,657.35, 13,326.04 and 5,407.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.35 : 13,326.04 = 5,407.82 : x
2. Step 2: Convert to fraction form
   9,657.35/13,326.04 = 5,407.82/x
3. Step 3: Cross multiply
   9,657.35x = 13,326.04 × 5,407.82
4. Step 4: Simplify right side
   9,657.35x = 72,064,765.28
5. Step 5: Solve for x
   x = 72,064,765.28/9,657.35
6. Step 6: Final answer
   x = 7,462.17