Finding the Fourth Proportional to 10,046.64, 13,864.30 and 5,570.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046.64 : 13,864.30 = 5,570.39 : x
2. Step 2: Convert to fraction form
   10,046.64/13,864.30 = 5,570.39/x
3. Step 3: Cross multiply
   10,046.64x = 13,864.30 × 5,570.39
4. Step 4: Simplify right side
   10,046.64x = 77,229,564.89
5. Step 5: Solve for x
   x = 77,229,564.89/10,046.64
6. Step 6: Final answer
   x = 7,687.10