Finding the Fourth Proportional to 13,830.72, 19,086.54 and 7,543.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.72 : 19,086.54 = 7,543.20 : x
2. Step 2: Convert to fraction form
   13,830.72/19,086.54 = 7,543.20/x
3. Step 3: Cross multiply
   13,830.72x = 19,086.54 × 7,543.20
4. Step 4: Simplify right side
   13,830.72x = 143,973,588.53
5. Step 5: Solve for x
   x = 143,973,588.53/13,830.72
6. Step 6: Final answer
   x = 10,409.70