Finding the Fourth Proportional to 21,500.86, 29,677.38 and 13,003

Step by Step Solution

1. Step 1: Write the proportion equation
   21,500.86 : 29,677.38 = 13,003 : x
2. Step 2: Convert to fraction form
   21,500.86/29,677.38 = 13,003/x
3. Step 3: Cross multiply
   21,500.86x = 29,677.38 × 13,003
4. Step 4: Simplify right side
   21,500.86x = 385,894,972.14
5. Step 5: Solve for x
   x = 385,894,972.14/21,500.86
6. Step 6: Final answer
   x = 17,947.89