Finding the Fourth Proportional to 10,618.32, 14,653.80 and 5,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,618.32 : 14,653.80 = 5,902.50 : x
2. Step 2: Convert to fraction form
   10,618.32/14,653.80 = 5,902.50/x
3. Step 3: Cross multiply
   10,618.32x = 14,653.80 × 5,902.50
4. Step 4: Simplify right side
   10,618.32x = 86,494,054.50
5. Step 5: Solve for x
   x = 86,494,054.50/10,618.32
6. Step 6: Final answer
   x = 8,145.74