Finding the Fourth Proportional to 9,705.58, 13,383.20 and 7,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.58 : 13,383.20 = 7,462.50 : x
2. Step 2: Convert to fraction form
   9,705.58/13,383.20 = 7,462.50/x
3. Step 3: Cross multiply
   9,705.58x = 13,383.20 × 7,462.50
4. Step 4: Simplify right side
   9,705.58x = 99,872,130
5. Step 5: Solve for x
   x = 99,872,130/9,705.58
6. Step 6: Final answer
   x = 10,290.18