Finding the Fourth Proportional to 12,984.10, 19,477.35 and 5,191.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,984.10 : 19,477.35 = 5,191.30 : x
2. Step 2: Convert to fraction form
   12,984.10/19,477.35 = 5,191.30/x
3. Step 3: Cross multiply
   12,984.10x = 19,477.35 × 5,191.30
4. Step 4: Simplify right side
   12,984.10x = 101,112,767.06
5. Step 5: Solve for x
   x = 101,112,767.06/12,984.10
6. Step 6: Final answer
   x = 7,787.43