Finding the Fourth Proportional to 1,566.34, 2,159.52 and 975.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.34 : 2,159.52 = 975.82 : x
2. Step 2: Convert to fraction form
   1,566.34/2,159.52 = 975.82/x
3. Step 3: Cross multiply
   1,566.34x = 2,159.52 × 975.82
4. Step 4: Simplify right side
   1,566.34x = 2,107,302.81
5. Step 5: Solve for x
   x = 2,107,302.81/1,566.34
6. Step 6: Final answer
   x = 1,345.37