Finding the Fourth Proportional to 10,061.58, 13,884.75 and 5,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.58 : 13,884.75 = 5,585.25 : x
2. Step 2: Convert to fraction form
   10,061.58/13,884.75 = 5,585.25/x
3. Step 3: Cross multiply
   10,061.58x = 13,884.75 × 5,585.25
4. Step 4: Simplify right side
   10,061.58x = 77,549,799.94
5. Step 5: Solve for x
   x = 77,549,799.94/10,061.58
6. Step 6: Final answer
   x = 7,707.52