Finding the Fourth Proportional to 1,566.98, 2,161.16 and 1,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.98 : 2,161.16 = 1,007.50 : x
2. Step 2: Convert to fraction form
   1,566.98/2,161.16 = 1,007.50/x
3. Step 3: Cross multiply
   1,566.98x = 2,161.16 × 1,007.50
4. Step 4: Simplify right side
   1,566.98x = 2,177,352.86
5. Step 5: Solve for x
   x = 2,177,352.86/1,566.98
6. Step 6: Final answer
   x = 1,389.52