Finding the Fourth Proportional to 10,101.32, 13,940.12 and 5,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.32 : 13,940.12 = 5,564.16 : x
2. Step 2: Convert to fraction form
   10,101.32/13,940.12 = 5,564.16/x
3. Step 3: Cross multiply
   10,101.32x = 13,940.12 × 5,564.16
4. Step 4: Simplify right side
   10,101.32x = 77,565,058.10
5. Step 5: Solve for x
   x = 77,565,058.10/10,101.32
6. Step 6: Final answer
   x = 7,678.71