Finding the Fourth Proportional to 9,748.80, 14,624.40 and 3,507.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,748.80 : 14,624.40 = 3,507.84 : x
2. Step 2: Convert to fraction form
   9,748.80/14,624.40 = 3,507.84/x
3. Step 3: Cross multiply
   9,748.80x = 14,624.40 × 3,507.84
4. Step 4: Simplify right side
   9,748.80x = 51,300,055.30
5. Step 5: Solve for x
   x = 51,300,055.30/9,748.80
6. Step 6: Final answer
   x = 5,262.19