Finding the Fourth Proportional to 11,746.30, 17,585.61 and 7,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746.30 : 17,585.61 = 7,801.50 : x
2. Step 2: Convert to fraction form
   11,746.30/17,585.61 = 7,801.50/x
3. Step 3: Cross multiply
   11,746.30x = 17,585.61 × 7,801.50
4. Step 4: Simplify right side
   11,746.30x = 137,194,074.19
5. Step 5: Solve for x
   x = 137,194,074.19/11,746.30
6. Step 6: Final answer
   x = 11,679.77