Finding the Fourth Proportional to 1,036.61, 1,430.53 and 564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.61 : 1,430.53 = 564.50 : x
2. Step 2: Convert to fraction form
   1,036.61/1,430.53 = 564.50/x
3. Step 3: Cross multiply
   1,036.61x = 1,430.53 × 564.50
4. Step 4: Simplify right side
   1,036.61x = 807,536.35
5. Step 5: Solve for x
   x = 807,536.35/1,036.61
6. Step 6: Final answer
   x = 779.02