Finding the Fourth Proportional to 1,109.84, 1,533.48 and 878.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.84 : 1,533.48 = 878.72 : x
2. Step 2: Convert to fraction form
   1,109.84/1,533.48 = 878.72/x
3. Step 3: Cross multiply
   1,109.84x = 1,533.48 × 878.72
4. Step 4: Simplify right side
   1,109.84x = 1,347,499.55
5. Step 5: Solve for x
   x = 1,347,499.55/1,109.84
6. Step 6: Final answer
   x = 1,214.14