Finding the Fourth Proportional to 9,829.86, 13,564.80 and 5,637.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.86 : 13,564.80 = 5,637.84 : x
2. Step 2: Convert to fraction form
   9,829.86/13,564.80 = 5,637.84/x
3. Step 3: Cross multiply
   9,829.86x = 13,564.80 × 5,637.84
4. Step 4: Simplify right side
   9,829.86x = 76,476,172.03
5. Step 5: Solve for x
   x = 76,476,172.03/9,829.86
6. Step 6: Final answer
   x = 7,779.99