Finding the Fourth Proportional to 1,564.72, 2,345.97 and 784.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.72 : 2,345.97 = 784.16 : x
2. Step 2: Convert to fraction form
   1,564.72/2,345.97 = 784.16/x
3. Step 3: Cross multiply
   1,564.72x = 2,345.97 × 784.16
4. Step 4: Simplify right side
   1,564.72x = 1,839,621.70
5. Step 5: Solve for x
   x = 1,839,621.70/1,564.72
6. Step 6: Final answer
   x = 1,175.69