Finding the Fourth Proportional to 9,705.78, 13,394.70 and 5,457.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.78 : 13,394.70 = 5,457.33 : x
2. Step 2: Convert to fraction form
   9,705.78/13,394.70 = 5,457.33/x
3. Step 3: Cross multiply
   9,705.78x = 13,394.70 × 5,457.33
4. Step 4: Simplify right side
   9,705.78x = 73,099,298.15
5. Step 5: Solve for x
   x = 73,099,298.15/9,705.78
6. Step 6: Final answer
   x = 7,531.52