Finding the Fourth Proportional to 9,809.25, 13,538.73 and 5,829.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,809.25 : 13,538.73 = 5,829.58 : x
2. Step 2: Convert to fraction form
   9,809.25/13,538.73 = 5,829.58/x
3. Step 3: Cross multiply
   9,809.25x = 13,538.73 × 5,829.58
4. Step 4: Simplify right side
   9,809.25x = 78,925,109.63
5. Step 5: Solve for x
   x = 78,925,109.63/9,809.25
6. Step 6: Final answer
   x = 8,045.99