Finding the Fourth Proportional to 9,702.38, 13,388.69 and 5,723.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702.38 : 13,388.69 = 5,723.87 : x
2. Step 2: Convert to fraction form
   9,702.38/13,388.69 = 5,723.87/x
3. Step 3: Cross multiply
   9,702.38x = 13,388.69 × 5,723.87
4. Step 4: Simplify right side
   9,702.38x = 76,635,068.40
5. Step 5: Solve for x
   x = 76,635,068.40/9,702.38
6. Step 6: Final answer
   x = 7,898.58