Finding the Fourth Proportional to 9,896.34, 13,656.96 and 5,420.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.34 : 13,656.96 = 5,420.09 : x
2. Step 2: Convert to fraction form
   9,896.34/13,656.96 = 5,420.09/x
3. Step 3: Cross multiply
   9,896.34x = 13,656.96 × 5,420.09
4. Step 4: Simplify right side
   9,896.34x = 74,021,925.23
5. Step 5: Solve for x
   x = 74,021,925.23/9,896.34
6. Step 6: Final answer
   x = 7,479.73