Finding the Fourth Proportional to 3,382.50, 5,071.50 and 1,407.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,382.50 : 5,071.50 = 1,407.62 : x
2. Step 2: Convert to fraction form
   3,382.50/5,071.50 = 1,407.62/x
3. Step 3: Cross multiply
   3,382.50x = 5,071.50 × 1,407.62
4. Step 4: Simplify right side
   3,382.50x = 7,138,744.83
5. Step 5: Solve for x
   x = 7,138,744.83/3,382.50
6. Step 6: Final answer
   x = 2,110.49