Finding the Fourth Proportional to 10,152.01, 14,007.96 and 5,675.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.01 : 14,007.96 = 5,675.80 : x
2. Step 2: Convert to fraction form
   10,152.01/14,007.96 = 5,675.80/x
3. Step 3: Cross multiply
   10,152.01x = 14,007.96 × 5,675.80
4. Step 4: Simplify right side
   10,152.01x = 79,506,347.18
5. Step 5: Solve for x
   x = 79,506,347.18/10,152.01
6. Step 6: Final answer
   x = 7,831.59