Finding the Fourth Proportional to 1,709.32, 2,564.01 and 476.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.32 : 2,564.01 = 476.72 : x
2. Step 2: Convert to fraction form
   1,709.32/2,564.01 = 476.72/x
3. Step 3: Cross multiply
   1,709.32x = 2,564.01 × 476.72
4. Step 4: Simplify right side
   1,709.32x = 1,222,314.85
5. Step 5: Solve for x
   x = 1,222,314.85/1,709.32
6. Step 6: Final answer
   x = 715.09