Finding the Fourth Proportional to 10,174.32, 14,040.72 and 5,637.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.32 : 14,040.72 = 5,637.60 : x
2. Step 2: Convert to fraction form
   10,174.32/14,040.72 = 5,637.60/x
3. Step 3: Cross multiply
   10,174.32x = 14,040.72 × 5,637.60
4. Step 4: Simplify right side
   10,174.32x = 79,155,963.07
5. Step 5: Solve for x
   x = 79,155,963.07/10,174.32
6. Step 6: Final answer
   x = 7,779.98