Finding the Fourth Proportional to 9,781.56, 13,498.32 and 5,415.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.56 : 13,498.32 = 5,415.77 : x
2. Step 2: Convert to fraction form
   9,781.56/13,498.32 = 5,415.77/x
3. Step 3: Cross multiply
   9,781.56x = 13,498.32 × 5,415.77
4. Step 4: Simplify right side
   9,781.56x = 73,103,729.01
5. Step 5: Solve for x
   x = 73,103,729.01/9,781.56
6. Step 6: Final answer
   x = 7,473.63