Finding the Fourth Proportional to 10,200.78, 15,296.56 and 3,627.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.78 : 15,296.56 = 3,627.14 : x
2. Step 2: Convert to fraction form
   10,200.78/15,296.56 = 3,627.14/x
3. Step 3: Cross multiply
   10,200.78x = 15,296.56 × 3,627.14
4. Step 4: Simplify right side
   10,200.78x = 55,482,746.50
5. Step 5: Solve for x
   x = 55,482,746.50/10,200.78
6. Step 6: Final answer
   x = 5,439.07