Finding the Fourth Proportional to 10,152.64, 14,008.98 and 5,675.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.64 : 14,008.98 = 5,675.62 : x
2. Step 2: Convert to fraction form
   10,152.64/14,008.98 = 5,675.62/x
3. Step 3: Cross multiply
   10,152.64x = 14,008.98 × 5,675.62
4. Step 4: Simplify right side
   10,152.64x = 79,509,647.07
5. Step 5: Solve for x
   x = 79,509,647.07/10,152.64
6. Step 6: Final answer
   x = 7,831.43