Finding the Fourth Proportional to 10,040.35, 13,856.24 and 5,564.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.35 : 13,856.24 = 5,564.01 : x
2. Step 2: Convert to fraction form
   10,040.35/13,856.24 = 5,564.01/x
3. Step 3: Cross multiply
   10,040.35x = 13,856.24 × 5,564.01
4. Step 4: Simplify right side
   10,040.35x = 77,096,230.10
5. Step 5: Solve for x
   x = 77,096,230.10/10,040.35
6. Step 6: Final answer
   x = 7,678.64