Finding the Fourth Proportional to 13,009.10, 17,945.42 and 7,702.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,009.10 : 17,945.42 = 7,702.88 : x
2. Step 2: Convert to fraction form
   13,009.10/17,945.42 = 7,702.88/x
3. Step 3: Cross multiply
   13,009.10x = 17,945.42 × 7,702.88
4. Step 4: Simplify right side
   13,009.10x = 138,231,288.57
5. Step 5: Solve for x
   x = 138,231,288.57/13,009.10
6. Step 6: Final answer
   x = 10,625.74