Finding the Fourth Proportional to 1,069.56, 1,476.06 and 597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.56 : 1,476.06 = 597.50 : x
2. Step 2: Convert to fraction form
   1,069.56/1,476.06 = 597.50/x
3. Step 3: Cross multiply
   1,069.56x = 1,476.06 × 597.50
4. Step 4: Simplify right side
   1,069.56x = 881,947.30
5. Step 5: Solve for x
   x = 881,947.30/1,069.56
6. Step 6: Final answer
   x = 824.59