Finding the Fourth Proportional to 13,876.17, 19,148.72 and 7,588.41

Step by Step Solution

1. Step 1: Write the proportion equation
   13,876.17 : 19,148.72 = 7,588.41 : x
2. Step 2: Convert to fraction form
   13,876.17/19,148.72 = 7,588.41/x
3. Step 3: Cross multiply
   13,876.17x = 19,148.72 × 7,588.41
4. Step 4: Simplify right side
   13,876.17x = 145,308,271.27
5. Step 5: Solve for x
   x = 145,308,271.27/13,876.17
6. Step 6: Final answer
   x = 10,471.79