Finding the Fourth Proportional to 1,748.16, 2,412.52 and 1,002.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.16 : 2,412.52 = 1,002.06 : x
2. Step 2: Convert to fraction form
   1,748.16/2,412.52 = 1,002.06/x
3. Step 3: Cross multiply
   1,748.16x = 2,412.52 × 1,002.06
4. Step 4: Simplify right side
   1,748.16x = 2,417,487.29
5. Step 5: Solve for x
   x = 2,417,487.29/1,748.16
6. Step 6: Final answer
   x = 1,382.88