Finding the Fourth Proportional to 13,547.31, 18,694.42 and 7,577.95

Step by Step Solution

1. Step 1: Write the proportion equation
   13,547.31 : 18,694.42 = 7,577.95 : x
2. Step 2: Convert to fraction form
   13,547.31/18,694.42 = 7,577.95/x
3. Step 3: Cross multiply
   13,547.31x = 18,694.42 × 7,577.95
4. Step 4: Simplify right side
   13,547.31x = 141,665,380.04
5. Step 5: Solve for x
   x = 141,665,380.04/13,547.31
6. Step 6: Final answer
   x = 10,457.09