Finding the Fourth Proportional to 10,055.16, 13,876.76 and 5,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,055.16 : 13,876.76 = 5,807 : x
2. Step 2: Convert to fraction form
   10,055.16/13,876.76 = 5,807/x
3. Step 3: Cross multiply
   10,055.16x = 13,876.76 × 5,807
4. Step 4: Simplify right side
   10,055.16x = 80,582,345.32
5. Step 5: Solve for x
   x = 80,582,345.32/10,055.16
6. Step 6: Final answer
   x = 8,014.03