Finding the Fourth Proportional to 1,461.72, 2,193.16 and 877.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.72 : 2,193.16 = 877.82 : x
2. Step 2: Convert to fraction form
   1,461.72/2,193.16 = 877.82/x
3. Step 3: Cross multiply
   1,461.72x = 2,193.16 × 877.82
4. Step 4: Simplify right side
   1,461.72x = 1,925,199.71
5. Step 5: Solve for x
   x = 1,925,199.71/1,461.72
6. Step 6: Final answer
   x = 1,317.08