Finding the Fourth Proportional to 9,837.76, 13,575.67 and 5,588.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837.76 : 13,575.67 = 5,588.81 : x
2. Step 2: Convert to fraction form
   9,837.76/13,575.67 = 5,588.81/x
3. Step 3: Cross multiply
   9,837.76x = 13,575.67 × 5,588.81
4. Step 4: Simplify right side
   9,837.76x = 75,871,840.25
5. Step 5: Solve for x
   x = 75,871,840.25/9,837.76
6. Step 6: Final answer
   x = 7,712.31