Finding the Fourth Proportional to 9,706.32, 13,394.43 and 5,457.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.32 : 13,394.43 = 5,457.42 : x
2. Step 2: Convert to fraction form
   9,706.32/13,394.43 = 5,457.42/x
3. Step 3: Cross multiply
   9,706.32x = 13,394.43 × 5,457.42
4. Step 4: Simplify right side
   9,706.32x = 73,099,030.17
5. Step 5: Solve for x
   x = 73,099,030.17/9,706.32
6. Step 6: Final answer
   x = 7,531.08