Finding the Fourth Proportional to 7,077.86, 10,606.72 and 5,214.32

Step by Step Solution

1. Step 1: Write the proportion equation
   7,077.86 : 10,606.72 = 5,214.32 : x
2. Step 2: Convert to fraction form
   7,077.86/10,606.72 = 5,214.32/x
3. Step 3: Cross multiply
   7,077.86x = 10,606.72 × 5,214.32
4. Step 4: Simplify right side
   7,077.86x = 55,306,845.71
5. Step 5: Solve for x
   x = 55,306,845.71/7,077.86
6. Step 6: Final answer
   x = 7,814.06