Finding the Fourth Proportional to 10,013.76, 13,820.22 and 5,822.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.76 : 13,820.22 = 5,822.01 : x
2. Step 2: Convert to fraction form
   10,013.76/13,820.22 = 5,822.01/x
3. Step 3: Cross multiply
   10,013.76x = 13,820.22 × 5,822.01
4. Step 4: Simplify right side
   10,013.76x = 80,461,459.04
5. Step 5: Solve for x
   x = 80,461,459.04/10,013.76
6. Step 6: Final answer
   x = 8,035.09