Finding the Fourth Proportional to 10,112.90, 13,955.34 and 5,637.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.90 : 13,955.34 = 5,637.14 : x
2. Step 2: Convert to fraction form
   10,112.90/13,955.34 = 5,637.14/x
3. Step 3: Cross multiply
   10,112.90x = 13,955.34 × 5,637.14
4. Step 4: Simplify right side
   10,112.90x = 78,668,205.33
5. Step 5: Solve for x
   x = 78,668,205.33/10,112.90
6. Step 6: Final answer
   x = 7,779.00