Finding the Fourth Proportional to 9,781.74, 13,498.67 and 5,305.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.74 : 13,498.67 = 5,305.47 : x
2. Step 2: Convert to fraction form
   9,781.74/13,498.67 = 5,305.47/x
3. Step 3: Cross multiply
   9,781.74x = 13,498.67 × 5,305.47
4. Step 4: Simplify right side
   9,781.74x = 71,616,788.72
5. Step 5: Solve for x
   x = 71,616,788.72/9,781.74
6. Step 6: Final answer
   x = 7,321.48