Finding the Fourth Proportional to 10,041.01, 13,856.42 and 5,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.01 : 13,856.42 = 5,564.75 : x
2. Step 2: Convert to fraction form
   10,041.01/13,856.42 = 5,564.75/x
3. Step 3: Cross multiply
   10,041.01x = 13,856.42 × 5,564.75
4. Step 4: Simplify right side
   10,041.01x = 77,107,504.47
5. Step 5: Solve for x
   x = 77,107,504.47/10,041.01
6. Step 6: Final answer
   x = 7,679.26