Finding the Fourth Proportional to 9,906.56, 13,670.27 and 5,714.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,906.56 : 13,670.27 = 5,714.00 : x
2. Step 2: Convert to fraction form
   9,906.56/13,670.27 = 5,714.00/x
3. Step 3: Cross multiply
   9,906.56x = 13,670.27 × 5,714.00
4. Step 4: Simplify right side
   9,906.56x = 78,111,825.86
5. Step 5: Solve for x
   x = 78,111,825.86/9,906.56
6. Step 6: Final answer
   x = 7,884.86