Finding the Fourth Proportional to 1,978.16, 2,966.29 and 1,156.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.16 : 2,966.29 = 1,156.61 : x
2. Step 2: Convert to fraction form
   1,978.16/2,966.29 = 1,156.61/x
3. Step 3: Cross multiply
   1,978.16x = 2,966.29 × 1,156.61
4. Step 4: Simplify right side
   1,978.16x = 3,430,845.20
5. Step 5: Solve for x
   x = 3,430,845.20/1,978.16
6. Step 6: Final answer
   x = 1,734.37