Finding the Fourth Proportional to 10,417.58, 14,376.17 and 5,637.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.58 : 14,376.17 = 5,637.42 : x
2. Step 2: Convert to fraction form
   10,417.58/14,376.17 = 5,637.42/x
3. Step 3: Cross multiply
   10,417.58x = 14,376.17 × 5,637.42
4. Step 4: Simplify right side
   10,417.58x = 81,044,508.28
5. Step 5: Solve for x
   x = 81,044,508.28/10,417.58
6. Step 6: Final answer
   x = 7,779.59