Finding the Fourth Proportional to 9,682.41, 13,360.71 and 5,434.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.41 : 13,360.71 = 5,434.01 : x
2. Step 2: Convert to fraction form
   9,682.41/13,360.71 = 5,434.01/x
3. Step 3: Cross multiply
   9,682.41x = 13,360.71 × 5,434.01
4. Step 4: Simplify right side
   9,682.41x = 72,602,250.08
5. Step 5: Solve for x
   x = 72,602,250.08/9,682.41
6. Step 6: Final answer
   x = 7,498.36