Finding the Fourth Proportional to 9,781.88, 13,499.00 and 5,305.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.88 : 13,499.00 = 5,305.63 : x
2. Step 2: Convert to fraction form
   9,781.88/13,499.00 = 5,305.63/x
3. Step 3: Cross multiply
   9,781.88x = 13,499.00 × 5,305.63
4. Step 4: Simplify right side
   9,781.88x = 71,620,684.30
5. Step 5: Solve for x
   x = 71,620,684.30/9,781.88
6. Step 6: Final answer
   x = 7,321.77