Finding the Fourth Proportional to 25,654, 35,402.52 and 13,878

Step by Step Solution

1. Step 1: Write the proportion equation
   25,654 : 35,402.52 = 13,878 : x
2. Step 2: Convert to fraction form
   25,654/35,402.52 = 13,878/x
3. Step 3: Cross multiply
   25,654x = 35,402.52 × 13,878
4. Step 4: Simplify right side
   25,654x = 491,316,172.56
5. Step 5: Solve for x
   x = 491,316,172.56/25,654
6. Step 6: Final answer
   x = 19,151.64