Finding the Fourth Proportional to 9,638.29, 13,300.93 and 5,659.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.29 : 13,300.93 = 5,659.47 : x
2. Step 2: Convert to fraction form
   9,638.29/13,300.93 = 5,659.47/x
3. Step 3: Cross multiply
   9,638.29x = 13,300.93 × 5,659.47
4. Step 4: Simplify right side
   9,638.29x = 75,276,237.30
5. Step 5: Solve for x
   x = 75,276,237.30/9,638.29
6. Step 6: Final answer
   x = 7,810.12