Finding the Fourth Proportional to 2,152.53, 2,971.49 and 1,407.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.53 : 2,971.49 = 1,407.60 : x
2. Step 2: Convert to fraction form
   2,152.53/2,971.49 = 1,407.60/x
3. Step 3: Cross multiply
   2,152.53x = 2,971.49 × 1,407.60
4. Step 4: Simplify right side
   2,152.53x = 4,182,662.29
5. Step 5: Solve for x
   x = 4,182,662.29/2,152.53
6. Step 6: Final answer
   x = 1,943.14