Finding the Fourth Proportional to 1,056.15, 1,583.82 and 471.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.15 : 1,583.82 = 471.33 : x
2. Step 2: Convert to fraction form
   1,056.15/1,583.82 = 471.33/x
3. Step 3: Cross multiply
   1,056.15x = 1,583.82 × 471.33
4. Step 4: Simplify right side
   1,056.15x = 746,501.88
5. Step 5: Solve for x
   x = 746,501.88/1,056.15
6. Step 6: Final answer
   x = 706.81