Finding the Fourth Proportional to 1,069.39, 1,602.06 and 521.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.39 : 1,602.06 = 521.02 : x
2. Step 2: Convert to fraction form
   1,069.39/1,602.06 = 521.02/x
3. Step 3: Cross multiply
   1,069.39x = 1,602.06 × 521.02
4. Step 4: Simplify right side
   1,069.39x = 834,705.30
5. Step 5: Solve for x
   x = 834,705.30/1,069.39
6. Step 6: Final answer
   x = 780.54