Finding the Fourth Proportional to 9,463.82, 13,065.30 and 5,687.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,463.82 : 13,065.30 = 5,687.91 : x
2. Step 2: Convert to fraction form
   9,463.82/13,065.30 = 5,687.91/x
3. Step 3: Cross multiply
   9,463.82x = 13,065.30 × 5,687.91
4. Step 4: Simplify right side
   9,463.82x = 74,314,250.52
5. Step 5: Solve for x
   x = 74,314,250.52/9,463.82
6. Step 6: Final answer
   x = 7,852.46