Finding the Fourth Proportional to 10,128.40, 13,977.89 and 5,653.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.40 : 13,977.89 = 5,653.02 : x
2. Step 2: Convert to fraction form
   10,128.40/13,977.89 = 5,653.02/x
3. Step 3: Cross multiply
   10,128.40x = 13,977.89 × 5,653.02
4. Step 4: Simplify right side
   10,128.40x = 79,017,263.46
5. Step 5: Solve for x
   x = 79,017,263.46/10,128.40
6. Step 6: Final answer
   x = 7,801.56