Finding the Fourth Proportional to 9,705.72, 13,393.94 and 5,672.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.72 : 13,393.94 = 5,672.78 : x
2. Step 2: Convert to fraction form
   9,705.72/13,393.94 = 5,672.78/x
3. Step 3: Cross multiply
   9,705.72x = 13,393.94 × 5,672.78
4. Step 4: Simplify right side
   9,705.72x = 75,980,779.62
5. Step 5: Solve for x
   x = 75,980,779.62/9,705.72
6. Step 6: Final answer
   x = 7,828.45