Finding the Fourth Proportional to 9,702.42, 13,388.91 and 5,395.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702.42 : 13,388.91 = 5,395.35 : x
2. Step 2: Convert to fraction form
   9,702.42/13,388.91 = 5,395.35/x
3. Step 3: Cross multiply
   9,702.42x = 13,388.91 × 5,395.35
4. Step 4: Simplify right side
   9,702.42x = 72,237,855.57
5. Step 5: Solve for x
   x = 72,237,855.57/9,702.42
6. Step 6: Final answer
   x = 7,445.34