Finding the Fourth Proportional to 9,829.32, 13,566.27 and 5,637.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.32 : 13,566.27 = 5,637.57 : x
2. Step 2: Convert to fraction form
   9,829.32/13,566.27 = 5,637.57/x
3. Step 3: Cross multiply
   9,829.32x = 13,566.27 × 5,637.57
4. Step 4: Simplify right side
   9,829.32x = 76,480,796.76
5. Step 5: Solve for x
   x = 76,480,796.76/9,829.32
6. Step 6: Final answer
   x = 7,780.88