Finding the Fourth Proportional to 1,004.61, 1,386.33 and 562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.61 : 1,386.33 = 562.50 : x
2. Step 2: Convert to fraction form
   1,004.61/1,386.33 = 562.50/x
3. Step 3: Cross multiply
   1,004.61x = 1,386.33 × 562.50
4. Step 4: Simplify right side
   1,004.61x = 779,810.63
5. Step 5: Solve for x
   x = 779,810.63/1,004.61
6. Step 6: Final answer
   x = 776.23