Finding the Fourth Proportional to 10,086.19, 13,918.91 and 5,610.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.19 : 13,918.91 = 5,610.40 : x
2. Step 2: Convert to fraction form
   10,086.19/13,918.91 = 5,610.40/x
3. Step 3: Cross multiply
   10,086.19x = 13,918.91 × 5,610.40
4. Step 4: Simplify right side
   10,086.19x = 78,090,589.81
5. Step 5: Solve for x
   x = 78,090,589.81/10,086.19
6. Step 6: Final answer
   x = 7,742.33