Finding the Fourth Proportional to 10,578.32, 14,598.34 and 5,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.32 : 14,598.34 = 5,862.50 : x
2. Step 2: Convert to fraction form
   10,578.32/14,598.34 = 5,862.50/x
3. Step 3: Cross multiply
   10,578.32x = 14,598.34 × 5,862.50
4. Step 4: Simplify right side
   10,578.32x = 85,582,768.25
5. Step 5: Solve for x
   x = 85,582,768.25/10,578.32
6. Step 6: Final answer
   x = 8,090.39