Finding the Fourth Proportional to 10,002.94, 13,801.25 and 5,753.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.94 : 13,801.25 = 5,753.78 : x
2. Step 2: Convert to fraction form
   10,002.94/13,801.25 = 5,753.78/x
3. Step 3: Cross multiply
   10,002.94x = 13,801.25 × 5,753.78
4. Step 4: Simplify right side
   10,002.94x = 79,409,356.23
5. Step 5: Solve for x
   x = 79,409,356.23/10,002.94
6. Step 6: Final answer
   x = 7,938.60