Finding the Fourth Proportional to 10,152.50, 14,005.78 and 5,957.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.50 : 14,005.78 = 5,957.78 : x
2. Step 2: Convert to fraction form
   10,152.50/14,005.78 = 5,957.78/x
3. Step 3: Cross multiply
   10,152.50x = 14,005.78 × 5,957.78
4. Step 4: Simplify right side
   10,152.50x = 83,443,271.05
5. Step 5: Solve for x
   x = 83,443,271.05/10,152.50
6. Step 6: Final answer
   x = 8,218.99