Finding the Fourth Proportional to 12,770.06, 19,155.69 and 5,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,770.06 : 19,155.69 = 5,742.50 : x
2. Step 2: Convert to fraction form
   12,770.06/19,155.69 = 5,742.50/x
3. Step 3: Cross multiply
   12,770.06x = 19,155.69 × 5,742.50
4. Step 4: Simplify right side
   12,770.06x = 110,001,454.05
5. Step 5: Solve for x
   x = 110,001,454.05/12,770.06
6. Step 6: Final answer
   x = 8,614.02