Finding the Fourth Proportional to 9,781.86, 13,498.86 and 5,305.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.86 : 13,498.86 = 5,305.71 : x
2. Step 2: Convert to fraction form
   9,781.86/13,498.86 = 5,305.71/x
3. Step 3: Cross multiply
   9,781.86x = 13,498.86 × 5,305.71
4. Step 4: Simplify right side
   9,781.86x = 71,621,036.49
5. Step 5: Solve for x
   x = 71,621,036.49/9,781.86
6. Step 6: Final answer
   x = 7,321.82