Finding the Fourth Proportional to 13,834.08, 19,090.96 and 7,546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.08 : 19,090.96 = 7,546.72 : x
2. Step 2: Convert to fraction form
   13,834.08/19,090.96 = 7,546.72/x
3. Step 3: Cross multiply
   13,834.08x = 19,090.96 × 7,546.72
4. Step 4: Simplify right side
   13,834.08x = 144,074,129.65
5. Step 5: Solve for x
   x = 144,074,129.65/13,834.08
6. Step 6: Final answer
   x = 10,414.44