Finding the Fourth Proportional to 9,083.76, 12,535.70 and 5,546.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,083.76 : 12,535.70 = 5,546.48 : x
2. Step 2: Convert to fraction form
   9,083.76/12,535.70 = 5,546.48/x
3. Step 3: Cross multiply
   9,083.76x = 12,535.70 × 5,546.48
4. Step 4: Simplify right side
   9,083.76x = 69,529,009.34
5. Step 5: Solve for x
   x = 69,529,009.34/9,083.76
6. Step 6: Final answer
   x = 7,654.21