Finding the Fourth Proportional to 9,702.80, 14,560.58 and 5,323.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702.80 : 14,560.58 = 5,323.34 : x
2. Step 2: Convert to fraction form
   9,702.80/14,560.58 = 5,323.34/x
3. Step 3: Cross multiply
   9,702.80x = 14,560.58 × 5,323.34
4. Step 4: Simplify right side
   9,702.80x = 77,510,917.94
5. Step 5: Solve for x
   x = 77,510,917.94/9,702.80
6. Step 6: Final answer
   x = 7,988.51