Finding the Fourth Proportional to 9,864.56, 13,613.50 and 5,672.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864.56 : 13,613.50 = 5,672.81 : x
2. Step 2: Convert to fraction form
   9,864.56/13,613.50 = 5,672.81/x
3. Step 3: Cross multiply
   9,864.56x = 13,613.50 × 5,672.81
4. Step 4: Simplify right side
   9,864.56x = 77,226,840.06
5. Step 5: Solve for x
   x = 77,226,840.06/9,864.56
6. Step 6: Final answer
   x = 7,828.71