Finding the Fourth Proportional to 1,345.64, 1,857.16 and 756.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.64 : 1,857.16 = 756.20 : x
2. Step 2: Convert to fraction form
   1,345.64/1,857.16 = 756.20/x
3. Step 3: Cross multiply
   1,345.64x = 1,857.16 × 756.20
4. Step 4: Simplify right side
   1,345.64x = 1,404,384.39
5. Step 5: Solve for x
   x = 1,404,384.39/1,345.64
6. Step 6: Final answer
   x = 1,043.66