Finding the Fourth Proportional to 10,618.26, 14,653.12 and 5,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,618.26 : 14,653.12 = 5,902.50 : x
2. Step 2: Convert to fraction form
   10,618.26/14,653.12 = 5,902.50/x
3. Step 3: Cross multiply
   10,618.26x = 14,653.12 × 5,902.50
4. Step 4: Simplify right side
   10,618.26x = 86,490,040.80
5. Step 5: Solve for x
   x = 86,490,040.80/10,618.26
6. Step 6: Final answer
   x = 8,145.41