Finding the Fourth Proportional to 9,071.80, 13,589.98 and 5,111.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,071.80 : 13,589.98 = 5,111.00 : x
2. Step 2: Convert to fraction form
   9,071.80/13,589.98 = 5,111.00/x
3. Step 3: Cross multiply
   9,071.80x = 13,589.98 × 5,111.00
4. Step 4: Simplify right side
   9,071.80x = 69,458,358.02
5. Step 5: Solve for x
   x = 69,458,358.02/9,071.80
6. Step 6: Final answer
   x = 7,656.52