Finding the Fourth Proportional to 13,877.01, 19,149.89 and 7,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,877.01 : 19,149.89 = 7,589.25 : x
2. Step 2: Convert to fraction form
   13,877.01/19,149.89 = 7,589.25/x
3. Step 3: Cross multiply
   13,877.01x = 19,149.89 × 7,589.25
4. Step 4: Simplify right side
   13,877.01x = 145,333,264.74
5. Step 5: Solve for x
   x = 145,333,264.74/13,877.01
6. Step 6: Final answer
   x = 10,472.95