Finding the Fourth Proportional to 10,109.68, 13,952.38 and 5,634.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.68 : 13,952.38 = 5,634.16 : x
2. Step 2: Convert to fraction form
   10,109.68/13,952.38 = 5,634.16/x
3. Step 3: Cross multiply
   10,109.68x = 13,952.38 × 5,634.16
4. Step 4: Simplify right side
   10,109.68x = 78,609,941.30
5. Step 5: Solve for x
   x = 78,609,941.30/10,109.68
6. Step 6: Final answer
   x = 7,775.71