Finding the Fourth Proportional to 10,178.86, 15,268.48 and 2,784.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.86 : 15,268.48 = 2,784.10 : x
2. Step 2: Convert to fraction form
   10,178.86/15,268.48 = 2,784.10/x
3. Step 3: Cross multiply
   10,178.86x = 15,268.48 × 2,784.10
4. Step 4: Simplify right side
   10,178.86x = 42,508,975.17
5. Step 5: Solve for x
   x = 42,508,975.17/10,178.86
6. Step 6: Final answer
   x = 4,176.20