Finding the Fourth Proportional to 10,175.34, 14,041.45 and 5,637.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.34 : 14,041.45 = 5,637.78 : x
2. Step 2: Convert to fraction form
   10,175.34/14,041.45 = 5,637.78/x
3. Step 3: Cross multiply
   10,175.34x = 14,041.45 × 5,637.78
4. Step 4: Simplify right side
   10,175.34x = 79,162,605.98
5. Step 5: Solve for x
   x = 79,162,605.98/10,175.34
6. Step 6: Final answer
   x = 7,779.85