Finding the Fourth Proportional to 9,739.83, 14,595.89 and 7,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,739.83 : 14,595.89 = 7,538.25 : x
2. Step 2: Convert to fraction form
   9,739.83/14,595.89 = 7,538.25/x
3. Step 3: Cross multiply
   9,739.83x = 14,595.89 × 7,538.25
4. Step 4: Simplify right side
   9,739.83x = 110,027,430.10
5. Step 5: Solve for x
   x = 110,027,430.10/9,739.83
6. Step 6: Final answer
   x = 11,296.65