Finding the Fourth Proportional to 5,547.50, 7,646.42 and 3,932.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,547.50 : 7,646.42 = 3,932.94 : x
2. Step 2: Convert to fraction form
   5,547.50/7,646.42 = 3,932.94/x
3. Step 3: Cross multiply
   5,547.50x = 7,646.42 × 3,932.94
4. Step 4: Simplify right side
   5,547.50x = 30,072,911.07
5. Step 5: Solve for x
   x = 30,072,911.07/5,547.50
6. Step 6: Final answer
   x = 5,420.98