Finding the Fourth Proportional to 10,200.42, 15,287.67 and 4,656.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.42 : 15,287.67 = 4,656.78 : x
2. Step 2: Convert to fraction form
   10,200.42/15,287.67 = 4,656.78/x
3. Step 3: Cross multiply
   10,200.42x = 15,287.67 × 4,656.78
4. Step 4: Simplify right side
   10,200.42x = 71,191,315.90
5. Step 5: Solve for x
   x = 71,191,315.90/10,200.42
6. Step 6: Final answer
   x = 6,979.25