Finding the Fourth Proportional to 9,705.57, 13,393.98 and 5,730.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.57 : 13,393.98 = 5,730.09 : x
2. Step 2: Convert to fraction form
   9,705.57/13,393.98 = 5,730.09/x
3. Step 3: Cross multiply
   9,705.57x = 13,393.98 × 5,730.09
4. Step 4: Simplify right side
   9,705.57x = 76,748,710.86
5. Step 5: Solve for x
   x = 76,748,710.86/9,705.57
6. Step 6: Final answer
   x = 7,907.70