Finding the Fourth Proportional to 10,041.57, 13,856.47 and 5,564.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.57 : 13,856.47 = 5,564.14 : x
2. Step 2: Convert to fraction form
   10,041.57/13,856.47 = 5,564.14/x
3. Step 3: Cross multiply
   10,041.57x = 13,856.47 × 5,564.14
4. Step 4: Simplify right side
   10,041.57x = 77,099,368.38
5. Step 5: Solve for x
   x = 77,099,368.38/10,041.57
6. Step 6: Final answer
   x = 7,678.02