Finding the Fourth Proportional to 10,257.59, 14,155.43 and 5,541.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.59 : 14,155.43 = 5,541.86 : x
2. Step 2: Convert to fraction form
   10,257.59/14,155.43 = 5,541.86/x
3. Step 3: Cross multiply
   10,257.59x = 14,155.43 × 5,541.86
4. Step 4: Simplify right side
   10,257.59x = 78,447,312.81
5. Step 5: Solve for x
   x = 78,447,312.81/10,257.59
6. Step 6: Final answer
   x = 7,647.74