Finding the Fourth Proportional to 9,549.35, 13,178.05 and 5,300.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,549.35 : 13,178.05 = 5,300.46 : x
2. Step 2: Convert to fraction form
   9,549.35/13,178.05 = 5,300.46/x
3. Step 3: Cross multiply
   9,549.35x = 13,178.05 × 5,300.46
4. Step 4: Simplify right side
   9,549.35x = 69,849,674.17
5. Step 5: Solve for x
   x = 69,849,674.17/9,549.35
6. Step 6: Final answer
   x = 7,314.60