Finding the Fourth Proportional to 10,029.86, 13,840.10 and 5,553

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.86 : 13,840.10 = 5,553 : x
2. Step 2: Convert to fraction form
   10,029.86/13,840.10 = 5,553/x
3. Step 3: Cross multiply
   10,029.86x = 13,840.10 × 5,553
4. Step 4: Simplify right side
   10,029.86x = 76,854,075.30
5. Step 5: Solve for x
   x = 76,854,075.30/10,029.86
6. Step 6: Final answer
   x = 7,662.53