Finding the Fourth Proportional to 5,925.58, 8,172.03 and 3,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,925.58 : 8,172.03 = 3,827.50 : x
2. Step 2: Convert to fraction form
   5,925.58/8,172.03 = 3,827.50/x
3. Step 3: Cross multiply
   5,925.58x = 8,172.03 × 3,827.50
4. Step 4: Simplify right side
   5,925.58x = 31,278,444.83
5. Step 5: Solve for x
   x = 31,278,444.83/5,925.58
6. Step 6: Final answer
   x = 5,278.55