Finding the Fourth Proportional to 9,781.66, 13,498.59 and 5,305.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.66 : 13,498.59 = 5,305.42 : x
2. Step 2: Convert to fraction form
   9,781.66/13,498.59 = 5,305.42/x
3. Step 3: Cross multiply
   9,781.66x = 13,498.59 × 5,305.42
4. Step 4: Simplify right side
   9,781.66x = 71,615,689.36
5. Step 5: Solve for x
   x = 71,615,689.36/9,781.66
6. Step 6: Final answer
   x = 7,321.42