Finding the Fourth Proportional to 10,004, 13,805.60 and 5,588

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 13,805.60 = 5,588 : x
2. Step 2: Convert to fraction form
   10,004/13,805.60 = 5,588/x
3. Step 3: Cross multiply
   10,004x = 13,805.60 × 5,588
4. Step 4: Simplify right side
   10,004x = 77,145,692.80
5. Step 5: Solve for x
   x = 77,145,692.80/10,004
6. Step 6: Final answer
   x = 7,711.48