Finding the Fourth Proportional to 1,069.16, 1,602.38 and 521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.16 : 1,602.38 = 521.50 : x
2. Step 2: Convert to fraction form
   1,069.16/1,602.38 = 521.50/x
3. Step 3: Cross multiply
   1,069.16x = 1,602.38 × 521.50
4. Step 4: Simplify right side
   1,069.16x = 835,641.17
5. Step 5: Solve for x
   x = 835,641.17/1,069.16
6. Step 6: Final answer
   x = 781.59