Finding the Fourth Proportional to 9,838, 13,577.01 and 5,646.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838 : 13,577.01 = 5,646.52 : x
2. Step 2: Convert to fraction form
   9,838/13,577.01 = 5,646.52/x
3. Step 3: Cross multiply
   9,838x = 13,577.01 × 5,646.52
4. Step 4: Simplify right side
   9,838x = 76,662,858.51
5. Step 5: Solve for x
   x = 76,662,858.51/9,838
6. Step 6: Final answer
   x = 7,792.52