Finding the Fourth Proportional to 9,702.78, 14,553.48 and 3,462.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702.78 : 14,553.48 = 3,462.09 : x
2. Step 2: Convert to fraction form
   9,702.78/14,553.48 = 3,462.09/x
3. Step 3: Cross multiply
   9,702.78x = 14,553.48 × 3,462.09
4. Step 4: Simplify right side
   9,702.78x = 50,385,384.81
5. Step 5: Solve for x
   x = 50,385,384.81/9,702.78
6. Step 6: Final answer
   x = 5,192.88