Finding the Fourth Proportional to 9,822.56, 13,554.24 and 5,788.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.56 : 13,554.24 = 5,788.76 : x
2. Step 2: Convert to fraction form
   9,822.56/13,554.24 = 5,788.76/x
3. Step 3: Cross multiply
   9,822.56x = 13,554.24 × 5,788.76
4. Step 4: Simplify right side
   9,822.56x = 78,462,242.34
5. Step 5: Solve for x
   x = 78,462,242.34/9,822.56
6. Step 6: Final answer
   x = 7,987.96